Question 648094
Original equation: {{{4x+5=7x-10}}}

This is a linear equation where our goal is to get 'x' by itself.

Step 1: Add '10' to both sides so we don't have to deal with negatives

{{{4x+5=7x-10}}}
{{{4x+15=7x}}}

Step 2: Subtract '4x' to both sides so we don't have to deal with negatives

{{{4x+15=7x}}}
{{{15=3x}}}

Step 3: Divide both sides by '3' to get 'x' by itself

{{{15=3x}}}
{{{5=x}}}

Your answer is {{{5=x}}} or {{{x=5}}}