Solve 5/4x+1/2=2x-1/2

$$\frac { 5 } { 4 } x + 1 / 2 = 2 x - 1 / 2$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$\frac{5}{4}x+\frac{1}{2}-2x=-\frac{1}{2}$$

Combine \frac{5}{4}x and -2x to get -\frac{3}{4}x.

$$-\frac{3}{4}x+\frac{1}{2}=-\frac{1}{2}$$

Subtract \frac{1}{2} from both sides.

$$-\frac{3}{4}x=-\frac{1}{2}-\frac{1}{2}$$

Since -\frac{1}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}x=\frac{-1-1}{2}$$

Subtract 1 from -1 to get -2.

$$-\frac{3}{4}x=\frac{-2}{2}$$

Divide -2 by 2 to get -1.

$$-\frac{3}{4}x=-1$$

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.

$$x=-\left(-\frac{4}{3}\right)$$

Multiply -1 and -\frac{4}{3} to get \frac{4}{3}.

$$x=\frac{4}{3}$$