Solve x+2/24=x-3/16

$$\frac { x + 2 } { 24 } = \frac { x - 3 } { 16 }$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48, the least common multiple of 24,16.

$$2\left(x+2\right)=3\left(x-3\right)$$

Use the distributive property to multiply 2 by x+2.

$$2x+4=3\left(x-3\right)$$

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

$$2x+4=3x-9$$

Subtract 3x from both sides.

$$2x+4-3x=-9$$

Combine 2x and -3x to get -x.

$$-x+4=-9$$

Subtract 4 from both sides.

$$-x=-9-4$$

Subtract 4 from -9 to get -13.

$$-x=-13$$

Multiply both sides by -1.

$$x=13$$