Solve 1/x+7=12

$$\frac { 1 } { x + 7 } = 12$$

Solve for x

$$x = -\frac{83}{12} = -6\frac{11}{12} \approx -6.916666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by x+7.

$$1=12\left(x+7\right)$$

Use the distributive property to multiply 12 by x+7.

$$1=12x+84$$

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

$$12x+84=1$$

Subtract 84 from both sides.

$$12x=1-84$$

Subtract 84 from 1 to get -83.

$$12x=-83$$

Divide both sides by 12.

$$x=\frac{-83}{12}$$

Fraction \frac{-83}{12} can be rewritten as -\frac{83}{12} by extracting the negative sign.

$$x=-\frac{83}{12}$$