Question

abs(4x+7)=abs(3-x)

Answer 1

You have to solve several cases:
First drop the left sides abs value signs:
\[\Large4x+7= \left| 3-x \right|\] OR \[\Large4x+7= - \left| 3-x \right|\]

You can also start by dropping the abs values on the right: \[\Large \left| 4x+7 \right|= 3-x \] OR \[\Large - \left| 4x+7 \right|= 3-x \]

Now solve all of those.

Answer 2

or you can do it by squaring both sides

Answer 3

abs(4x+7)=abs(3-x)
{abs(4+x)}^2 = {abs(3-x)}^2
(4+x)^2 = (3-x)^2

Answer 4

Now, solve for x