Solve 171.6-x/132-x=1.2/1

$$\frac { 171.6 - x } { 132 - x } = \frac { 1.2 } { 1 }$$

Solve for x

$$x=-66$$

Steps for Solving Linear Equation

Variable x cannot be equal to 132 since division by zero is not defined. Multiply both sides of the equation by -x+132.

$$171.6-x=\left(-x+132\right)\times 1.2$$

Use the distributive property to multiply -x+132 by 1.2.

$$171.6-x=-1.2x+158.4$$

Add 1.2x to both sides.

$$171.6-x+1.2x=158.4$$

Combine -x and 1.2x to get 0.2x.

$$171.6+0.2x=158.4$$

Subtract 171.6 from both sides.

$$0.2x=158.4-171.6$$

Subtract 171.6 from 158.4 to get -13.2.

$$0.2x=-13.2$$

Divide both sides by 0.2.

$$x=\frac{-13.2}{0.2}$$

Expand \frac{-13.2}{0.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-132}{2}$$

Divide -132 by 2 to get -66.

$$x=-66$$