Question

If x = m + 2, find the value of m from the equation:$\frac{3m-4}{2} - (\frac{4x-3}{6}) = 3.$

Answer 1

Substituting x = m+2 in the equation,

$\frac{3m - 4}{2} - \frac{4(m + 2) - 3}{6} = 3 \\ \frac{3m - 4}{2} - \frac{4m + 5}{6} = 3 \\ 9m - 12- 4m - 5 = 18 \\ 5m - 17 = 18 \\ m = 35 \div 5 = 7\\ m = 7$

Hope this helps!