Solve 3/10x-4x+8/5=3/5

$$\frac { 3 } { 10 } x - 4 x + \frac { 8 } { 5 } = \frac { 3 } { 5 }$$

Solve for x

$$x=\frac{10}{37}\approx 0.27027027$$

Steps for Solving Linear Equation

Combine \frac{3}{10}x and -4x to get -\frac{37}{10}x.

$$-\frac{37}{10}x+\frac{8}{5}=\frac{3}{5}$$

Subtract \frac{8}{5} from both sides.

$$-\frac{37}{10}x=\frac{3}{5}-\frac{8}{5}$$

Since \frac{3}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{37}{10}x=\frac{3-8}{5}$$

Subtract 8 from 3 to get -5.

$$-\frac{37}{10}x=\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$-\frac{37}{10}x=-1$$

Multiply both sides by -\frac{10}{37}, the reciprocal of -\frac{37}{10}.

$$x=-\left(-\frac{10}{37}\right)$$

Multiply -1 and -\frac{10}{37} to get \frac{10}{37}.

$$x=\frac{10}{37}$$