Solve 3h=7(2/7-3/7h)-10

$$3 h = 7 ( \frac { 2 } { 7 } - \frac { 3 } { 7 } h ) - 10$$

Solve for h

$$h = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by \frac{2}{7}-\frac{3}{7}h.

$$3h=7\times \frac{2}{7}+7\left(-\frac{3}{7}\right)h-10$$

Cancel out 7 and 7.

$$3h=2+7\left(-\frac{3}{7}\right)h-10$$

Cancel out 7 and 7.

$$3h=2-3h-10$$

Subtract 10 from 2 to get -8.

$$3h=-8-3h$$

Add 3h to both sides.

$$3h+3h=-8$$

Combine 3h and 3h to get 6h.

$$6h=-8$$

Divide both sides by 6.

$$h=\frac{-8}{6}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

$$h=-\frac{4}{3}$$