Solve 100+(180-2x-25)+1/2x=180

$$100+(180-2x-25)+ \frac{ 1 }{ 2 } x=180$$

Solve for x

$$x=50$$

Steps for Solving Linear Equation

Add 100 and 180 to get 280.

$$280-2x-25+\frac{1}{2}x=180$$

Subtract 25 from 280 to get 255.

$$255-2x+\frac{1}{2}x=180$$

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

$$255-\frac{3}{2}x=180$$

Subtract 255 from both sides.

$$-\frac{3}{2}x=180-255$$

Subtract 255 from 180 to get -75.

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

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

$$x=-75\left(-\frac{2}{3}\right)$$

Express -75\left(-\frac{2}{3}\right) as a single fraction.

$$x=\frac{-75\left(-2\right)}{3}$$

Multiply -75 and -2 to get 150.

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

Divide 150 by 3 to get 50.

$$x=50$$