Question

Solve the following equation for x.

Answer 1

Solve for x (isolate/get x by itself)

`(1)/(4)x-7=(3)/(8)x-5` Add 5 on both sides

`(1)/(4)x-7+5=(3)/(8)x-5+5`

`(1)/(4)x-2=(3)/(8)x` Subtract 1/4x on both sides

`(1)/(4)x-(1)/(4)x-2=(3)/(8)x-(1)/(4)x`

`-2=(3)/(8)x-(1)/(4)x` Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x

`-2=(3)/(8)x-(2)/(8)x`

`-2=(1)/(8)x` Multiply 8 on both sides

`-2(8)=(8)(1)/(8)x`

-16 = x