I'm not very good at math, so could someone help me figure out how to do this problem? 5(x - 1) + 3 = 13

Question

You don't have to give me the answer, but I don't understand it. I have to solve for x, and I have no idea how to do it! Please help me!

Answer 1

1. 5(x-1) +3 = 13
2. 5x - 5 +3 =13
3. 5x -2 = 13
4. 5x = 15
5. x = 3

1. Some number minus 1 times 5, plus three equals 13.
2. Solve for parenthesis first; multiply 5 by both numbers inside the parenthesis.
3. Complete -5+3 = -2
4. Isolate the variable on one side of the equation, move -2 to the other side (becomes +2 when it switches over to make 15)
5. Divide both sides of the equation by 5.
6. Check the answer, solve for x.

Answer 2

X=1

Answer 3

#1 problem: 5(x-1) +3 = 13
- multiply 5 to x and 3 for they are in a parenthesis... so , that makes is 5x - 5 because 5 time x is 5x and 5 times 1 is 5. copy the minus sign in between. so that makes it 5x -5.
#2 next equation: 5x - 5 + 3 = 13
#3 compute the numbers without the x
next equation: 5x -2 =13 ---- because -5 + 3 = -2... so it will be 5x -2 =13
#4 transfer the -2 to other side of the equation and change the negative sign into positive . so , it will be 5x = 13 +2
#5 next equation is 5x = 15
#6 to eliminate 5 and make the equation into x only... you divide both sides by 5 which makes it 5x divided by 5 is X ... and on the other side of the equation, 15 divided by 5 is 3... that's how you get the answer. you must divide both sides with the same number.. which, in this equation is 5 so as to make 5x into x...
#7 your answer will become : x = 3
#8 to check it... 5(x-1) + 3= 13
so if x is 3 .... 5 ( 3 - 1 ) + 3 = 13
5 times 3 is 15.. and 5 times 1 is 5...
which makes it 15 - 5 +3 = 13
so, 15 minus 5 is 10 ... 10 plus 3 is 13... which makes the equation equal to 13 .... =)
that's how you check if x is indeed correct.. so X is 3... =)

Answer 4

x=3

Answer 5

x=3

Answer 6

I have no idea what grade are you in but if you know multiplication and addition this would be a piece of cake.
(Take Math as a challenge.Its nothing to be scared of really if you really pay attention to your teacher in your class and maybe even ask her/him for guidance whenever you need help.Life really becomes easier if we ask the right questions to the right person at the right time!)

5(x-1), if multiplied would be 5x-5
So the equation would be
5x-5+3=13
since 5 is the bigger number than 3 ...substracting 5 from 3 gives -2.So the equation is
5x-2=13
Carry the -2 to the right hand side which becomes a +2
5x= 13+2
5x=15
x=15/5
therefore x=5.

Good luck.

Answer 7

5(x - 1) +3 =13
5x - 5 + 3 =13 >>> multiply 5 by x and 1
5x - 2 = 13 >>> combine like numbers. -5 + 3 = -2
5x = 15 >>> - 2 +2 =0 and 2 + 13 =15 add 2 to each side of equation
x=3 >>> divide each side by 5

Check yourself 5(3 - 1) +3 = 13
15 - 5 + 3 +13

Get it now?? Let me know if this helps

Answer 8

The trick to this equation is to get all numbers on one side and all variables on the other.

1) 5(x-1) means multiply everything in the parenthesis by 5, so expand it to be 5x - 5

Eq: 5x - 5 + 3 = 13

2) Now, move every number to the right. To do so, you have to change the sign. so if -5 is on the left, +5 has to be on the right

Eq: 5x = 13 + 5 - 3

3) Now add up the terms on the right to simplify

5x = 15

4) now to find out what x equals, you need to divide both sides of the equation by 5. 5x/5=x and 15/5 = 3

Eq: x = 3

There you go, x=1

Answer 9

You start by subtracting 3 from both sides of the equal sign
5(x-1)+3=13
-3 -3
Then you divide each side by 5
5(x-1)=10
/5 /5
Finally you add 1
x-1=2
+1+1
So your answer is:
x=3

To figure for x is simple once you realize that all you are doing is simple math just work the problem backwards from how you would figure it if there were no x.

Answer 10

5(x-1) + 3 = 13
5x - 5 + 3 = 13
- 3 I - 3
5x - 5 = 10
+ 5 I + 5
5x = 15
5/5 15/5

x = 3 =)