Solve (3/8x+8)2=x

$$( \frac{ 3 }{ 8 } x+8)2=x$$

Solve for x

$$x=64$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{8}x+8 by 2.

$$\frac{3}{8}x\times 2+16=x$$

Express \frac{3}{8}\times 2 as a single fraction.

$$\frac{3\times 2}{8}x+16=x$$

Multiply 3 and 2 to get 6.

$$\frac{6}{8}x+16=x$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}x+16=x$$

Subtract x from both sides.

$$\frac{3}{4}x+16-x=0$$

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

$$-\frac{1}{4}x+16=0$$

Subtract 16 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{4}x=-16$$

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

$$x=-16\left(-4\right)$$

Multiply -16 and -4 to get 64.

$$x=64$$