Question

Solve the multi-step equations.

2(x+5)=3(x+6)

Answer 1

2x + 10 = 3x + 16

2x - 3x = 16 - 10

x = 6

Answer 2

`x=-8`

Explanation:

Given the following question:


`2(x+5)=3(x+6)`

To find the answer we need to expand the equation by using the distribution property, use inverse operations by subtracting or adding on both sides, and of course simplify if needed.


`2(x+5)=3(x+6)`

`2(x+5)=2x+10`

`3(x+6)=3x+18`

`2x+10=3x+18`

`10-10=0`

`18-10=8`

`2x=3x+8`

`3x-3x=0`

`2x-3x=-x`

`-x=8`

`-x/-x=x`

`8/-1=-8`

`x=-8`

Your answer is "x = -8."

Hope this helps.