Solve 5/2-x=3x

$$\frac { 5 } { 2 } - x = 3 x$$

Solve for x

$$x=\frac{5}{8}=0.625$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$\frac{5}{2}-x-3x=0$$

Combine -x and -3x to get -4x.

$$\frac{5}{2}-4x=0$$

Subtract \frac{5}{2} from both sides. Anything subtracted from zero gives its negation.

$$-4x=-\frac{5}{2}$$

Divide both sides by -4.

$$x=\frac{-\frac{5}{2}}{-4}$$

Express \frac{-\frac{5}{2}}{-4} as a single fraction.

$$x=\frac{-5}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$x=\frac{-5}{-8}$$

Fraction \frac{-5}{-8} can be simplified to \frac{5}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{8}$$