Solve 70%*x+8=80%*x-10

$$70 \% \times x+8=80 \% \times x-10$$

Solve for x

$$x=180$$

Steps for Solving Linear Equation

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{7}{10}x+8=\frac{80}{100}x-10$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{7}{10}x+8=\frac{4}{5}x-10$$

Subtract \frac{4}{5}x from both sides.

$$\frac{7}{10}x+8-\frac{4}{5}x=-10$$

Combine \frac{7}{10}x and -\frac{4}{5}x to get -\frac{1}{10}x.

$$-\frac{1}{10}x+8=-10$$

Subtract 8 from both sides.

$$-\frac{1}{10}x=-10-8$$

Subtract 8 from -10 to get -18.

$$-\frac{1}{10}x=-18$$

Multiply both sides by -10, the reciprocal of -\frac{1}{10}.

$$x=-18\left(-10\right)$$

Multiply -18 and -10 to get 180.

$$x=180$$