How the heck do I solve this equation?

Question

4(2x – 3) = 3x + 13

Answer 1

4(2x - 3) = 3x + 13
8x - 12 = 3x + 13
5x = 25
x = 5

Answer: x = 5

Proof:
4(2[5] - 3) = 3[5] + 13
4(10 - 3) = 15 + 13
4 * 7 = 28

Answer 2

You expand out of the left side by using the
distributive property, meaning you multiply 4
by each of the things in the bracket. So you
do 4 * 2x which gives you 8x then you do 4 * (-3)
which is -12

8x-12=3x+13

Therefore you get the above part of the
equation. Next you must rearrange it so
that all the x's and numbers are on the
same sides. So we can easily do this by
subtracting 3x from both sides, getting rid
of it from the right and making the left 2x
because 8x - 3x is 5x. Then we can add
12 to both sides eliminating it from the left
and making 25 (13 + 12) on the right.
You get the following then:

5x = 25

Next divide both sides by 5 and you get x as 5!

Therefore x = 5

Hope I helped

Answer 3

4(2x-3)=3x+13 (multiply everything in () by 4, so 4 times 2x=8x and 4 times 3=12
8x-12=3x+13

8x=3x+25 (moved the 12 from left of the equation to the right of the equation and the only way to do that is to transform -12 to +12, so 12 plus 13=25)

5x=25 (moved 3x from the left to the right of the equation and the only way to do that is to transform 3x into -3x, so 8x-3x=5x)

x=5
check it: 4(2X5-3)=3X5+13 (a number outside other numbers in parentheses means you multiply everything in those parentheses by that number)

4(10-3)=15+13
4X7=15+13
28=28!

Answer 4

The object of solving this equation is to isolate the variable (which is x).

First) you want to remove the parenthesis by multiplying everything within them by 4.
4(2x-3) = 3x + 13
4 times 2x - 4 times 3 equals 8x - 12

Second) now you have 8x-12=3x+13
the next thing you need to do is subtract 3x from both sides so that the variable is only on one side.
8x-12 - 3x = 3x -3x +13 and you get 5x-12 = 13.

Third) You now need to subtract -12 from both sides so that the variable is on one side and the numbers are on the other and because subtracting a negative number gives you a positive number you will end up adding 12 to both sides.
5x - 12 + 12 = 13 +12 you end up with 5x = 25

Fourth) You now need to isolate the variable by removing the 5. To do this divide both sides by 5.
5x/5=25/5 you will end up with x=5

Fifth) You can check your answer by plugging in 5 for the x's in the original problem and the two sides should be equal to each other.
4(2 times 5 - 3) = 3 times 5 + 13 and you end up with 28 = 28.

Hope this helps!

Answer 5

hi
4 ( 2x - 3 ) = 3x +13

first multiply 4 (2 x-3) = 4 * 2 x = 8 x - 4* 3 =12
8x - 12 = 3x + 13
group terms 8 x - 3x = 5 x
x = 5

8 * 5 - 12 = 28 = 3* 5 +13 = 28

thanks
l1khs

Answer 6

4(2x – 3) = 3x + 13
multiply out the left side
8x -12 = 3x + 13
now subtract 3x from each side and add 12 to each side
5x = 25
divide by 5
x = 5

Answer 7

4(2x – 3) = 3x + 13
8x - 12 = 3x + 13
5x = 25
x = 5

Answer 8

First, on the left side of the equation distribute the 4 so that you have

8x - 12 = 3x +13

subtract 3x to both sides and add 12 to both sides, the you get

5x = 25

then divide both sides by 5 to get

x = 25/5 = 5

Answer 9

Multiply Out the bracket

8x-12=3x+13

Re-arrange to get all xs on one side and all numbers on other

5x=25

Divide through by 5

x=5


And thats your answer x=5

Answer 10

8x - 12 = 3x + 13
5x = 25
x = 5