Solve 22-2(h+2)-3(h-1)=h+3

$$22 - 2 ( h + 2 ) - 3 ( h - 1 ) = h + 3$$

Solve for h

$$h=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by h+2.

$$22-2h-4-3\left(h-1\right)=h+3$$

Subtract 4 from 22 to get 18.

$$18-2h-3\left(h-1\right)=h+3$$

Use the distributive property to multiply -3 by h-1.

$$18-2h-3h+3=h+3$$

Combine -2h and -3h to get -5h.

$$18-5h+3=h+3$$

Add 18 and 3 to get 21.

$$21-5h=h+3$$

Subtract h from both sides.

$$21-5h-h=3$$

Combine -5h and -h to get -6h.

$$21-6h=3$$

Subtract 21 from both sides.

$$-6h=3-21$$

Subtract 21 from 3 to get -18.

$$-6h=-18$$

Divide both sides by -6.

$$h=\frac{-18}{-6}$$

Divide -18 by -6 to get 3.

$$h=3$$