Solve (254+563.12+x)*0.08=x

$$(254+563.12+x) \times 0.08=x$$

Solve for x

$$x = \frac{40856}{575} = 71\frac{31}{575} \approx 71.053913043$$

Steps for Solving Linear Equation

Add 254 and 563.12 to get 817.12.

$$\left(817.12+x\right)\times 0.08=x$$

Use the distributive property to multiply 817.12+x by 0.08.

$$65.3696+0.08x=x$$

Subtract x from both sides.

$$65.3696+0.08x-x=0$$

Combine 0.08x and -x to get -0.92x.

$$65.3696-0.92x=0$$

Subtract 65.3696 from both sides. Anything subtracted from zero gives its negation.

$$-0.92x=-65.3696$$

Divide both sides by -0.92.

$$x=\frac{-65.3696}{-0.92}$$

Expand \frac{-65.3696}{-0.92} by multiplying both numerator and the denominator by 10000.

$$x=\frac{-653696}{-9200}$$

Reduce the fraction \frac{-653696}{-9200} to lowest terms by extracting and canceling out -16.

$$x=\frac{40856}{575}$$