Question

(3/2)^ x+4=(2/3)^1-3x

Answer 1

$( \frac{3}{2} ) ^{x + 4} = ( \frac{2}{3} ) ^{1 - 3x} \\ ( \frac{3}{2} ) ^{x + 4} = ( \frac{3}{2} ) ^{3x - 1} \\ \\ x + 4 = 3x - 1 \\ 2x = 5 \\ x = 2.5$