Solve 8(2h+5)=2(3h+5)

$$8 ( 2 h + 5 ) = 2 ( 3 h + 5 )$$

Solve for h

$$h=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 2h+5.

$$16h+40=2\left(3h+5\right)$$

Use the distributive property to multiply 2 by 3h+5.

$$16h+40=6h+10$$

Subtract 6h from both sides.

$$16h+40-6h=10$$

Combine 16h and -6h to get 10h.

$$10h+40=10$$

Subtract 40 from both sides.

$$10h=10-40$$

Subtract 40 from 10 to get -30.

$$10h=-30$$

Divide both sides by 10.

$$h=\frac{-30}{10}$$

Divide -30 by 10 to get -3.

$$h=-3$$