Question 238514
Given: {{{12 + 4m = 3m - 52}}}

You want to get the m's to one side.
{{{12 + 4m = 3m - 52}}}  Subtract 12 from both sides
{{{4m = 3m - 52 - 12}}} Subtract 3m from both sides
{{{-3m + 4m = -52 - 12}}} Combine like terms
{{{highlight(m = -64)}}}

To check the answer plug -64 into the given equation for m
{{{12 + 4m = 3m - 52}}}
{{{12 + 4*(-64) = 3*(-64) - 52}}} Simplify
{{{12 - 256 = -192 - 52}}} Simplify
{{{-244 = -244}}}