Solve 12(460+x)=21(100x+64)

$$12(460+x)=21(100x+64)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by 460+x.

$$5520+12x=21\left(100x+64\right)$$

Use the distributive property to multiply 21 by 100x+64.

$$5520+12x=2100x+1344$$

Subtract 2100x from both sides.

$$5520+12x-2100x=1344$$

Combine 12x and -2100x to get -2088x.

$$5520-2088x=1344$$

Subtract 5520 from both sides.

$$-2088x=1344-5520$$

Subtract 5520 from 1344 to get -4176.

$$-2088x=-4176$$

Divide both sides by -2088.

$$x=\frac{-4176}{-2088}$$

Divide -4176 by -2088 to get 2.

$$x=2$$