Solve x+13/24=3x-21/27

$$\frac { x + 13 } { 24 } = \frac { 3 x - 21 } { 27 }$$

Solve for x

$$x=19$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 216, the least common multiple of 24,27.

$$9\left(x+13\right)=8\left(3x-21\right)$$

Use the distributive property to multiply 9 by x+13.

$$9x+117=8\left(3x-21\right)$$

Use the distributive property to multiply 8 by 3x-21.

$$9x+117=24x-168$$

Subtract 24x from both sides.

$$9x+117-24x=-168$$

Combine 9x and -24x to get -15x.

$$-15x+117=-168$$

Subtract 117 from both sides.

$$-15x=-168-117$$

Subtract 117 from -168 to get -285.

$$-15x=-285$$

Divide both sides by -15.

$$x=\frac{-285}{-15}$$

Divide -285 by -15 to get 19.

$$x=19$$