Solve 420left(80-xright)=168left(x-10right)

$$420 \left( 80-x \right) = 168 \left( x-10 \right)$$

Solve for x

$$x=60$$

Steps for Solving Linear Equation

Use the distributive property to multiply 420 by 80-x.

$$33600-420x=168\left(x-10\right)$$

Use the distributive property to multiply 168 by x-10.

$$33600-420x=168x-1680$$

Subtract 168x from both sides.

$$33600-420x-168x=-1680$$

Combine -420x and -168x to get -588x.

$$33600-588x=-1680$$

Subtract 33600 from both sides.

$$-588x=-1680-33600$$

Subtract 33600 from -1680 to get -35280.

$$-588x=-35280$$

Divide both sides by -588.

$$x=\frac{-35280}{-588}$$

Divide -35280 by -588 to get 60.

$$x=60$$