Question

How do you solve `(-5x + 4) - 5 = -4(x - 7)`?

Answer 1

Previous solutions but in a bit more detail

Explanation:

The brackets on the left only group numbers. The brackets on the right are part of multiplication.

`color(blue)(Step1)`
Ungroup the left and multiply out the right

`-5x+4-5 = -4x+7`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)(Step2)`
Add `color(brown)(5x)` to both sides

`color(brown)(5x) -5x +4-5=-4xcolor(brown)(+5x)-7`

`0+4-5=x-7`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)(Step3)`
Add `color(brown)(7)` to both sides

`4-5color(brown)(+7)=x-7color(brown)(+7)`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)(Step4)`
Finish off the arithmetic

`6=x`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)(Step5)`
Write in the equation in the standard way

#x=6