Solve -40-10x=16-2/3x

$$- 40 - 10 x = 16 - \frac { 2 } { 3 } x$$

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

Add \frac{2}{3}x to both sides.

$$-40-10x+\frac{2}{3}x=16$$

Combine -10x and \frac{2}{3}x to get -\frac{28}{3}x.

$$-40-\frac{28}{3}x=16$$

Add 40 to both sides.

$$-\frac{28}{3}x=16+40$$

Add 16 and 40 to get 56.

$$-\frac{28}{3}x=56$$

Multiply both sides by -\frac{3}{28}, the reciprocal of -\frac{28}{3}.

$$x=56\left(-\frac{3}{28}\right)$$

Express 56\left(-\frac{3}{28}\right) as a single fraction.

$$x=\frac{56\left(-3\right)}{28}$$

Multiply 56 and -3 to get -168.

$$x=\frac{-168}{28}$$

Divide -168 by 28 to get -6.

$$x=-6$$