Solve 1/4x+50%(150-x)=50

$$\frac{ 1 }{ 4 } x+50 \% (150-x)=50$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{1}{4}x+\frac{1}{2}\left(150-x\right)=50$$

Use the distributive property to multiply \frac{1}{2} by 150-x.

$$\frac{1}{4}x+\frac{1}{2}\times 150+\frac{1}{2}\left(-1\right)x=50$$

Multiply \frac{1}{2} and 150 to get \frac{150}{2}.

$$\frac{1}{4}x+\frac{150}{2}+\frac{1}{2}\left(-1\right)x=50$$

Divide 150 by 2 to get 75.

$$\frac{1}{4}x+75+\frac{1}{2}\left(-1\right)x=50$$

Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.

$$\frac{1}{4}x+75-\frac{1}{2}x=50$$

Combine \frac{1}{4}x and -\frac{1}{2}x to get -\frac{1}{4}x.

$$-\frac{1}{4}x+75=50$$

Subtract 75 from both sides.

$$-\frac{1}{4}x=50-75$$

Subtract 75 from 50 to get -25.

$$-\frac{1}{4}x=-25$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$x=-25\left(-4\right)$$

Multiply -25 and -4 to get 100.

$$x=100$$