Solve 0.5x+1.4=0.2x-0.12

$$0.5x+1.4=0.2x-0.12$$

Solve for x

$$x = -\frac{76}{15} = -5\frac{1}{15} \approx -5.066666667$$

Steps for Solving Linear Equation

Subtract 0.2x from both sides.

$$0.5x+1.4-0.2x=-0.12$$

Combine 0.5x and -0.2x to get 0.3x.

$$0.3x+1.4=-0.12$$

Subtract 1.4 from both sides.

$$0.3x=-0.12-1.4$$

Subtract 1.4 from -0.12 to get -1.52.

$$0.3x=-1.52$$

Divide both sides by 0.3.

$$x=\frac{-1.52}{0.3}$$

Expand \frac{-1.52}{0.3} by multiplying both numerator and the denominator by 100.

$$x=\frac{-152}{30}$$

Reduce the fraction \frac{-152}{30} to lowest terms by extracting and canceling out 2.

$$x=-\frac{76}{15}$$