Solve 1/2x+2=2/8x-1

$$\frac { 1 } { 2 } x + 2 = \frac { 2 } { 8 } x - 1$$

Solve for x

$$x=-12$$

Steps for Solving Linear Equation

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

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

Subtract \frac{1}{4}x from both sides.

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

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

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

Subtract 2 from both sides.

$$\frac{1}{4}x=-1-2$$

Subtract 2 from -1 to get -3.

$$\frac{1}{4}x=-3$$

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

$$x=-3\times 4$$

Multiply -3 and 4 to get -12.

$$x=-12$$