Question

2/3x + 1/6 = -3/4x + 1

Answer 1

$\frac{2}{3} x + \frac{1}{6} = -\frac{3}{4} x + 1$

First, simplify $\frac{2}{3} x$ to $\frac{2x}{3}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3}{4} x + 1$
Second, simplify $\frac{3}{4} x$ to $\frac{3x}{4}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3x}{4} + 1$
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like: $8x + 2 = -9x + 12$
Fourth, subtract 2 from both sides. / Your problem should look like: $8x = -9x + 12 - 2$
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like: $8x = -9x + 10$
Sixth, add 9x to both sides. / Your problem should look like: $8x + 9x = 10$
Seventh, add 8x + 9x to get 17x. / Your problem should look like: $17x = 10$
Eighth, divide both sides by 17. / Your problem should look like: $x = \frac{10}{17}$

Answer as fraction: x = $\frac{10}{17}$
Answer as decimal: x = 0.5882