Question

What is the value of x in the equation Three-fourths (one-fourth x + 8) minus (one-half x + 2) = StartFraction 3 Over 8 EndFraction (4 minus x) minus one-fourth?

Answer 1

$\frac{3}{4} ( \frac{x}{4} + 8) - ( 1\frac{x}{2} + 2) = \frac{3}{8}( 4 - x) - \frac{1}{4} \\ \\ = > \frac{3x}{16} + 6 - x + 2 = \frac{3}{2} - \frac{3x}{8} - \frac{1}{4} \\ \\ = > \frac{3x}{16} - x + 8 = \frac{12 - 3x - 2}{8} \\ \\ = > 3x - x + 8 = \frac{3}{2} - \frac{3x}{8} - \frac{1}{4} \times 16 \\ \\ = >2x +8 = \frac{3}{2} - \frac{3x}{8} - 4 \\ \\ = > 2x = \frac{3}{2} - \frac{3x}{8} - 4 + 8 \\ \\ = > 2x = \frac{3}{2} - \frac{3x}{8} + 4 \\ \\ = > x = \frac{3}{2} - \frac{3x}{8} + 2 \\ \\ = > x = \frac{3 + 4}{2} - \frac{3x}{8} \\ \\ = > x = \frac{28 - 3x}{8} \\ \\ = > x = \frac{7 - 3x}{8}$