Solve 12(30-2x)=24(9+2x)

$$12(30-2x)=24(9+2x)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by 30-2x.

$$360-24x=24\left(9+2x\right)$$

Use the distributive property to multiply 24 by 9+2x.

$$360-24x=216+48x$$

Subtract 48x from both sides.

$$360-24x-48x=216$$

Combine -24x and -48x to get -72x.

$$360-72x=216$$

Subtract 360 from both sides.

$$-72x=216-360$$

Subtract 360 from 216 to get -144.

$$-72x=-144$$

Divide both sides by -72.

$$x=\frac{-144}{-72}$$

Divide -144 by -72 to get 2.

$$x=2$$