5(2x-3)+3(x+1)=5(3x-2)?

Question

please help me solve this

Answer 1

Hey there!

Here's the answer.

5(2x-3)+3(x+1)=5(3x-2) --> Write the problem.
10x-15+3x+3=15x-10 --> Distribute 5 into 2x-3, 3 into x+1 and 5 into 3x-2.
13x-15+3=15x-10 --> Add 10x and 3x.
13x-12=15x-10 --> Add -15 and 3.
-2x-12=-10 --> Subtract 15x on both sides of the equation.
-2x=2 --> Add 2 to both sides of the equation.
x=-1 Divide -2 on both sides of the equation.

So the answer is x=-1.

Hope it helps!

Answer 2

Multiply through the () by the number outside of them
10x - 15 + 3x + 3 = 15x -10

Now combine like terms

13x - 12 = 15x -10

Subtract 13x from both sides and add 10 to both sides

-2 = 2x

Divide by 2 to get the variable alone

-1 = x

Check:

5(2(-1) - 3) + 3(-1+1) = 5(3(-1)-2)
5(-2-3) + 3(0) = 5(-3-2)
5(-5) + 3 = 5(-5)
-25 = -25

It works out so x = -1

Answer 3

Ans. 10x -15 +3x +3=15x -10,
-2x= 2, x= -1.

Answer 4

5(2x-3)+3(x+1)=5(3x-2)
10x-15 + 3x+3 = 15x-10
10x + 3x - 15x = -10 + 15 - 3
-2x = 2
x = 2 / -2
x = -1

Answer 5

10x - 15 + 3x + 3 = 15x - 10
13x - 12 = 15x - 10
- 2 = 2x
x = - 1

Answer 6

first~ distribute
10x-15 + 3x+3 = 15x-10
then~ simplify
13x-12=15x-10
then~get all the variables on one side of the eq.
-2x-12=-10
then isolate the variable and solve
-2x=2
x=-1

Answer 7

10x-15+3x+3=15x-10
13x-12=15x-10
-2=2x
x=-1

Answer 8

10x-15+3x+3=15x-10
13x-12=15x-10
-2=2x
x=-1

Answer 9

hmm I got 2x-2 that is if you don't figure out x. But for some reason that type of equation looks like to me that you don't need to figure out x. Well unless it says to find x. But if it doesnt' the answer is 2x-2
O_o;;

Answer 10

x equals to negative one.
Plug it into original to check