Solve 3(x+4)=5(x-6)+32

$$3(x+4)=5(x-6)+32$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+4.

$$3x+12=5\left(x-6\right)+32$$

Use the distributive property to multiply 5 by x-6.

$$3x+12=5x-30+32$$

Add -30 and 32 to get 2.

$$3x+12=5x+2$$

Subtract 5x from both sides.

$$3x+12-5x=2$$

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

$$-2x+12=2$$

Subtract 12 from both sides.

$$-2x=2-12$$

Subtract 12 from 2 to get -10.

$$-2x=-10$$

Divide both sides by -2.

$$x=\frac{-10}{-2}$$

Divide -10 by -2 to get 5.

$$x=5$$