Solve 58=48left(x+4right)/x-4

$$58 = \frac{ 48 \left( x+4 \right) }{ x-4 }$$

Solve for x

$$x = \frac{212}{5} = 42\frac{2}{5} = 42.4$$

Steps for Solving Linear Equation

Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by x-4.

$$58\left(x-4\right)=48\left(x+4\right)$$

Use the distributive property to multiply 58 by x-4.

$$58x-232=48\left(x+4\right)$$

Use the distributive property to multiply 48 by x+4.

$$58x-232=48x+192$$

Subtract 48x from both sides.

$$58x-232-48x=192$$

Combine 58x and -48x to get 10x.

$$10x-232=192$$

Add 232 to both sides.

$$10x=192+232$$

Add 192 and 232 to get 424.

$$10x=424$$

Divide both sides by 10.

$$x=\frac{424}{10}$$

Reduce the fraction \frac{424}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{212}{5}$$