How do you evaluate \frac { 1} { 2} ( 4m - 6) = \frac { 2} { 3} ( 6m - 9) + 3?

Apr 10, 2018

$m = 0$

Explanation:

$\frac{1}{2} \left(4 m - 6\right) = \frac{2}{3} \left(6 m - 9\right) + 3$

Simplify the brackets first by multiplying by the coefficients

$2 m - 3 = 4 m - 6 + 3$

$2 m - 3 = 4 m - 3$

Add $3$ to both sides

$2 m = 4 m$

Bring similar terms to one side

$0 = 2 m$

Divide both sides by $2$

$0 = m$