Solve 5/2+x=2x+5

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

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

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

Combine x and -2x to get -x.

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

Subtract \frac{5}{2} from both sides.

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

Convert 5 to fraction \frac{10}{2}.

$$-x=\frac{10}{2}-\frac{5}{2}$$

Since \frac{10}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{10-5}{2}$$

Subtract 5 from 10 to get 5.

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

Multiply both sides by -1.

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