Solve 36+(x-36)*1/4=3/8x

$$36 + ( x - 36 ) \cdot \frac { 1 } { 4 } = \frac { 3 } { 8 } x$$

Solve for x

$$x=216$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-36 by \frac{1}{4}.

$$36+x\times \frac{1}{4}-36\times \frac{1}{4}=\frac{3}{8}x$$

Multiply -36 and \frac{1}{4} to get \frac{-36}{4}.

$$36+x\times \frac{1}{4}+\frac{-36}{4}=\frac{3}{8}x$$

Divide -36 by 4 to get -9.

$$36+x\times \frac{1}{4}-9=\frac{3}{8}x$$

Subtract 9 from 36 to get 27.

$$27+x\times \frac{1}{4}=\frac{3}{8}x$$

Subtract \frac{3}{8}x from both sides.

$$27+x\times \frac{1}{4}-\frac{3}{8}x=0$$

Combine x\times \frac{1}{4} and -\frac{3}{8}x to get -\frac{1}{8}x.

$$27-\frac{1}{8}x=0$$

Subtract 27 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{8}x=-27$$

Multiply both sides by -8, the reciprocal of -\frac{1}{8}.

$$x=-27\left(-8\right)$$

Multiply -27 and -8 to get 216.

$$x=216$$