Solve (x+864.24)0.1=x

$$( x + 864.24 ) 0.1 = x$$

Solve for x

$$x = \frac{7202}{75} = 96\frac{2}{75} \approx 96.026666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+864.24 by 0.1.

$$0.1x+86.424=x$$

Subtract x from both sides.

$$0.1x+86.424-x=0$$

Combine 0.1x and -x to get -0.9x.

$$-0.9x+86.424=0$$

Subtract 86.424 from both sides. Anything subtracted from zero gives its negation.

$$-0.9x=-86.424$$

Divide both sides by -0.9.

$$x=\frac{-86.424}{-0.9}$$

Expand \frac{-86.424}{-0.9} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-86424}{-900}$$

Reduce the fraction \frac{-86424}{-900} to lowest terms by extracting and canceling out -12.

$$x=\frac{7202}{75}$$