Answer
$x=-24$
Work Step by Step
Multiply $12$ to both sides of the equation to obtain:
$12(\frac{2}{3}x+0.25x)=12(x+2)$
Distribute $12$ to obtain:
$12(\frac{2}{3}x)+12(0.25x)=12(x) + 12(2)
\\8x+3x=12x+24
\\11x=12x+24$
Subtract $11x$ and $24$ to both sides:
$11x-11x-24=12x+24-11x-24
\\-24=x$