Question

3/4 * (7x - 1) - (2x - (1 - x)/2) = x + 3/2​

Answer 1

Step-by-step explanation:

$\frac{3}{4} \times (7x - 1) - (2x - \frac{(1 - x)}{2} ) = x + \frac{3}{2}$

$\frac{21x - 3}{4} - ( \frac{4x - 1 + x}{2}) = \frac{2x + 3}{2}$

$( \frac{21x - 3}{4}) - ( \frac{5x - 1}{2}) = \frac{2x + 3}{2}$

$\frac{21x - 3 - 10x + 4}{4} = \frac{2x + 3}{2}$

$\frac{11x + 1}{4} = \frac{2x + 3}{2}$

$22x + 2 = 8x + 12$

$22x - 8x = 12 - 2$

$14x = 10$

$x = \frac{10}{14}$

$x = \frac{5}{7}$