Solve 1/4(2x+40)=x

$$1 / 4 ( 2 x + 40 ) = x$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{4} by 2x+40.

$$\frac{1}{4}\times 2x+\frac{1}{4}\times 40=x$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{2}{4}x+\frac{1}{4}\times 40=x$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}x+\frac{1}{4}\times 40=x$$

Multiply \frac{1}{4} and 40 to get \frac{40}{4}.

$$\frac{1}{2}x+\frac{40}{4}=x$$

Divide 40 by 4 to get 10.

$$\frac{1}{2}x+10=x$$

Subtract x from both sides.

$$\frac{1}{2}x+10-x=0$$

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

$$-\frac{1}{2}x+10=0$$

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{2}x=-10$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=-10\left(-2\right)$$

Multiply -10 and -2 to get 20.

$$x=20$$