Solve 68(4199-1-x)=36(425-x)

$$68 ( 4199 - 1 - x ) = 36 ( 425 - x )$$

Solve for x

$$x = \frac{67541}{8} = 8442\frac{5}{8} = 8442.625$$

Steps for Solving Linear Equation

Subtract 1 from 4199 to get 4198.

$$68\left(4198-x\right)=36\left(425-x\right)$$

Use the distributive property to multiply 68 by 4198-x.

$$285464-68x=36\left(425-x\right)$$

Use the distributive property to multiply 36 by 425-x.

$$285464-68x=15300-36x$$

Add 36x to both sides.

$$285464-68x+36x=15300$$

Combine -68x and 36x to get -32x.

$$285464-32x=15300$$

Subtract 285464 from both sides.

$$-32x=15300-285464$$

Subtract 285464 from 15300 to get -270164.

$$-32x=-270164$$

Divide both sides by -32.

$$x=\frac{-270164}{-32}$$

Reduce the fraction \frac{-270164}{-32} to lowest terms by extracting and canceling out -4.

$$x=\frac{67541}{8}$$