Solve x+24/20=x+15/17

$$\frac { x + 24 } { 20 } = \frac { x + 15 } { 17 }$$

Solve for x

$$x=36$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 340, the least common multiple of 20,17.

$$17\left(x+24\right)=20\left(x+15\right)$$

Use the distributive property to multiply 17 by x+24.

$$17x+408=20\left(x+15\right)$$

Use the distributive property to multiply 20 by x+15.

$$17x+408=20x+300$$

Subtract 20x from both sides.

$$17x+408-20x=300$$

Combine 17x and -20x to get -3x.

$$-3x+408=300$$

Subtract 408 from both sides.

$$-3x=300-408$$

Subtract 408 from 300 to get -108.

$$-3x=-108$$

Divide both sides by -3.

$$x=\frac{-108}{-3}$$

Divide -108 by -3 to get 36.

$$x=36$$