Question

Solve for x. Show your work. 1/2x - 1/4 = 3/5x + 2

Answer 1

The answer for this Is -45/2

Answer 2

Answer:

$x = - \frac{45}{2}$

Step-by-step explanation:

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

$20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)$

$20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)$

$10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2$

$10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2$

$10x - 5 = 4 \times 3x + 20 \times 2$

$10x - 5 = 4 \times 3x + 40$

$10x - 5 - 12x = 40$

$10x - 12x = 40 + 5$

$- 2x = 40 - 5$

$- 2x = 45$

$x = - \frac{45}{2}$