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

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Combine -\frac{5}{2}x and -\frac{1}{2}x to get -3x.

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

Subtract 2 from both sides.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 1 to get -3.

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

Divide both sides by -3.

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

Express \frac{-\frac{3}{2}}{-3} as a single fraction.

$$x=\frac{-3}{2\left(-3\right)}$$

Cancel out -3 in both numerator and denominator.

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