Solve (1/10x+9)div1/8+x=360

$$( \frac { 1 } { 10 } x + 9 ) \div \frac { 1 } { 8 } + x = 360$$

Solve for x

$$x=160$$

Steps for Solving Linear Equation

Divide each term of \frac{1}{10}x+9 by \frac{1}{8} to get \frac{\frac{1}{10}x}{\frac{1}{8}}+\frac{9}{\frac{1}{8}}.

$$\frac{\frac{1}{10}x}{\frac{1}{8}}+\frac{9}{\frac{1}{8}}+x=360$$

Divide \frac{1}{10}x by \frac{1}{8} to get \frac{4}{5}x.

$$\frac{4}{5}x+\frac{9}{\frac{1}{8}}+x=360$$

Divide 9 by \frac{1}{8} by multiplying 9 by the reciprocal of \frac{1}{8}.

$$\frac{4}{5}x+9\times 8+x=360$$

Multiply 9 and 8 to get 72.

$$\frac{4}{5}x+72+x=360$$

Combine \frac{4}{5}x and x to get \frac{9}{5}x.

$$\frac{9}{5}x+72=360$$

Subtract 72 from both sides.

$$\frac{9}{5}x=360-72$$

Subtract 72 from 360 to get 288.

$$\frac{9}{5}x=288$$

Multiply both sides by \frac{5}{9}, the reciprocal of \frac{9}{5}.

$$x=288\times \frac{5}{9}$$

Express 288\times \frac{5}{9} as a single fraction.

$$x=\frac{288\times 5}{9}$$

Multiply 288 and 5 to get 1440.

$$x=\frac{1440}{9}$$

Divide 1440 by 9 to get 160.

$$x=160$$