Answer:
x = 8
Step-by-step explanation:
Simplify both sides:
9/20x + 9/10 = 5/8x + -1/2
Subtract 5/8x from both sides
-7/40x + 9/10 = -1/2
Subtract 9/10 from both sides
-7/40x = -7/5
Multiply both sides by 40/-7
x=8
[tex] \frac{x + 6}{4} + \frac{x - 3}{5} = \frac{5x - 4}{8} \\ \\ \frac{5(x + 6) + 4(x - 3)}{4 \times 5} = \frac{5x - 4}{8} \\ \\ \frac{5x + 30 + 4x - 12}{20} = \frac{5x - 4}{8} \\ \\ \frac{9x + 18}{20} = \frac{5x - 4}{8} \\ \\ 8(9x + 18) = 20(5x - 4) \\ 72x + 144 = 100x - 80 \\ 144 + 80 = 100x - 72x \\ 224 = 28x \\ \\ x = \frac{224}{28} \\ \\ \huge \red{ \boxed{x = 8}}[/tex]
