Solve 0.5x+1=0.2x-0.4

$$0.5x+1=0.2x-0.4$$

Solve for x

$$x = -\frac{14}{3} = -4\frac{2}{3} \approx -4.666666667$$

Steps for Solving Linear Equation

Subtract 0.2x from both sides.

$$0.5x+1-0.2x=-0.4$$

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

$$0.3x+1=-0.4$$

Subtract 1 from both sides.

$$0.3x=-0.4-1$$

Subtract 1 from -0.4 to get -1.4.

$$0.3x=-1.4$$

Divide both sides by 0.3.

$$x=\frac{-1.4}{0.3}$$

Expand \frac{-1.4}{0.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{-14}{3}$$

Fraction \frac{-14}{3} can be rewritten as -\frac{14}{3} by extracting the negative sign.

$$x=-\frac{14}{3}$$