Question

Solve the equation.

Answer 1

Answer:

x = -1

Step-by-step explanation:

$\frac{2}{3} - 4x + \frac{7}{2} = -9x + \frac{5}{6}$

Add 4x to each side of the equation

$\frac{2}{3} - 4x + \frac{7}{2} + 4x = -9x + \frac{5}{6} + 4x$

$\frac{2}{3} + \frac{7}{2} = -9x + \frac{5}{6} + 4x$

Subtract ⅚ from each side

$\frac{2}{3} + \frac{7}{2} - \frac{5}{6} = -9x + \frac{5}{6} + 4x - \frac{5}{6}$

$\frac{2}{3} + \frac{7}{2} - \frac{5}{6} = -9x + 4x$

$\frac{4 + 21 + 5}{6} = -5x$

$\frac{30}{6} = -5x$

$5 = -5x$

Divide both sides by -5

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

$-1 = x$

$x = -1$