Solve x-12/x+3+5x+1/x+3=5

$$\frac { x - 12 } { x + 3 } + \frac { 5 x + 1 } { x + 3 } = 5$$

Solve for x

$$x=26$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by x+3.

$$x-12+5x+1=5\left(x+3\right)$$

Combine x and 5x to get 6x.

$$6x-12+1=5\left(x+3\right)$$

Add -12 and 1 to get -11.

$$6x-11=5\left(x+3\right)$$

Use the distributive property to multiply 5 by x+3.

$$6x-11=5x+15$$

Subtract 5x from both sides.

$$6x-11-5x=15$$

Combine 6x and -5x to get x.

$$x-11=15$$

Add 11 to both sides.

$$x=15+11$$

Add 15 and 11 to get 26.

$$x=26$$