Question

Solve for X. Show each step of the solution.
2.5(6-2x)+11=104-1.5(6x+12)

Answer 1

`x=15`

Explanation:

we have

`2.5(6-2x)+11=104-1.5(6x+12)`

Distribute in both sides

`2.5(6)-2.5(2x)+11=104-1.5(6x)-1.5(12)`

`15-5x+11=104-9x-18`

Combine like terms in both sides

`26-5x=86-9x`

group terms that contain the same variable

Adds 9x both sides

`26-5x+9x=86-9x+9x`

`26+4x=86`

Subtract 26 both sides

`26+4x-26=86-26`

`4x=60`

Divide by 4 both sides

`4x/4=60/4`

`x=15`