Solve x+1/2x+25=100

$$x + \frac { 1 } { 2 } x + 25 = 100$$

Solve for x

$$x=50$$

Steps for Solving Linear Equation

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

$$\frac{3}{2}x+25=100$$

Subtract 25 from both sides.

$$\frac{3}{2}x=100-25$$

Subtract 25 from 100 to get 75.

$$\frac{3}{2}x=75$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=75\times \frac{2}{3}$$

Express 75\times \frac{2}{3} as a single fraction.

$$x=\frac{75\times 2}{3}$$

Multiply 75 and 2 to get 150.

$$x=\frac{150}{3}$$

Divide 150 by 3 to get 50.

$$x=50$$