Solve 160+x=0.09x

$$160+x=0.09x$$

Solve for x

$$x = -\frac{16000}{91} = -175\frac{75}{91} \approx -175.824175824$$

Steps for Solving Linear Equation

Subtract 0.09x from both sides.

$$160+x-0.09x=0$$

Combine x and -0.09x to get 0.91x.

$$160+0.91x=0$$

Subtract 160 from both sides. Anything subtracted from zero gives its negation.

$$0.91x=-160$$

Divide both sides by 0.91.

$$x=\frac{-160}{0.91}$$

Expand \frac{-160}{0.91} by multiplying both numerator and the denominator by 100.

$$x=\frac{-16000}{91}$$

Fraction \frac{-16000}{91} can be rewritten as -\frac{16000}{91} by extracting the negative sign.

$$x=-\frac{16000}{91}$$