Answer:
x = -3/2
Explanation:
15/(8x - 3) = 1/(2 + 2x)
To eliminate fractions, we multiply both sides of the equation by the LCD which is (8x - 3)(2 + 2x).
(2 + 2x)(8x - 3) × 15/(8x - 3) = (2 + 2x)(8x - 3) × 1/(2 + 2x)
On the left side, 8x - 3 cancels out leaving 15(2 + 2x).
On the right side, 2 + 2x cancels out leaving 8x - 3.
15(2 + 2x) = 8x - 3
Distribute 15 on the left side.
30 + 30x = 8x - 3
Subtract 8x from both sides.
Subtract 30 from both sides.
22x = -33
Divide both sides by 11.
2x = -3
Divide both sides by 2.
x = -3/2