Solve 1+x/60=180-x/100-10

$$1+ \frac{ x }{ 60 } = \frac{ 180-x }{ 100-10 }$$

Solve for x

$$x=36$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60.

$$60+x=\frac{2}{3}\left(180-x\right)$$

Use the distributive property to multiply \frac{2}{3} by 180-x.

$$60+x=\frac{2}{3}\times 180+\frac{2}{3}\left(-1\right)x$$

Express \frac{2}{3}\times 180 as a single fraction.

$$60+x=\frac{2\times 180}{3}+\frac{2}{3}\left(-1\right)x$$

Multiply 2 and 180 to get 360.

$$60+x=\frac{360}{3}+\frac{2}{3}\left(-1\right)x$$

Divide 360 by 3 to get 120.

$$60+x=120+\frac{2}{3}\left(-1\right)x$$

Multiply \frac{2}{3} and -1 to get -\frac{2}{3}.

$$60+x=120-\frac{2}{3}x$$

Add \frac{2}{3}x to both sides.

$$60+x+\frac{2}{3}x=120$$

Combine x and \frac{2}{3}x to get \frac{5}{3}x.

$$60+\frac{5}{3}x=120$$

Subtract 60 from both sides.

$$\frac{5}{3}x=120-60$$

Subtract 60 from 120 to get 60.

$$\frac{5}{3}x=60$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=60\times \frac{3}{5}$$

Express 60\times \frac{3}{5} as a single fraction.

$$x=\frac{60\times 3}{5}$$

Multiply 60 and 3 to get 180.

$$x=\frac{180}{5}$$

Divide 180 by 5 to get 36.

$$x=36$$