Solve 7/x+8=4

$$\frac { 7 } { x + 8 } = 4$$

Solve for x

$$x = -\frac{25}{4} = -6\frac{1}{4} = -6.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by x+8.

$$7=4\left(x+8\right)$$

Use the distributive property to multiply 4 by x+8.

$$7=4x+32$$

Swap sides so that all variable terms are on the left hand side.

$$4x+32=7$$

Subtract 32 from both sides.

$$4x=7-32$$

Subtract 32 from 7 to get -25.

$$4x=-25$$

Divide both sides by 4.

$$x=\frac{-25}{4}$$

Fraction \frac{-25}{4} can be rewritten as -\frac{25}{4} by extracting the negative sign.

$$x=-\frac{25}{4}$$