x-7=3/4x-5

3 answers

Add 7 to both sides

x = 3 / 4 x + 2

Subtract 3 / 4 x to both sides

x - 3 / 4 = 2

4 x / 4 - 3 / 4 = 2

x / 4 = 2

x = 4 ∙ 2

x = 8
I will assume you mean:
x-7=3 / (4x-5 )
and not
x-7=(3/4)x-5
or
x-7=[3/(4x)] -5
BUT please be explicit !!!
(x-7)(4x-5)=3
4 x^2 - 33 x + 35 = 3
4x^2 - 33 x + 32 = 0
x = 7.128 or 1.122
My typo.

You should write like this:

x - 3 / 4 x = 2

4 / 4 x - 3 / 4 x = 2

x / 4 = 2