Solve 4x+1/5=3x-3/10

$$4 x + \frac { 1 } { 5 } = 3 x - \frac { 3 } { 10 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$4x+\frac{1}{5}-3x=-\frac{3}{10}$$

Combine 4x and -3x to get x.

$$x+\frac{1}{5}=-\frac{3}{10}$$

Subtract \frac{1}{5} from both sides.

$$x=-\frac{3}{10}-\frac{1}{5}$$

Least common multiple of 10 and 5 is 10. Convert -\frac{3}{10} and \frac{1}{5} to fractions with denominator 10.

$$x=-\frac{3}{10}-\frac{2}{10}$$

Since -\frac{3}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-3-2}{10}$$

Subtract 2 from -3 to get -5.

$$x=\frac{-5}{10}$$

Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.

$$x=-\frac{1}{2}$$