Solve 4(x+7)=9(x-1)+22

$$4 ( x + 7 ) = 9 ( x - 1 ) + 22$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+7.

$$4x+28=9\left(x-1\right)+22$$

Use the distributive property to multiply 9 by x-1.

$$4x+28=9x-9+22$$

Add -9 and 22 to get 13.

$$4x+28=9x+13$$

Subtract 9x from both sides.

$$4x+28-9x=13$$

Combine 4x and -9x to get -5x.

$$-5x+28=13$$

Subtract 28 from both sides.

$$-5x=13-28$$

Subtract 28 from 13 to get -15.

$$-5x=-15$$

Divide both sides by -5.

$$x=\frac{-15}{-5}$$

Divide -15 by -5 to get 3.

$$x=3$$