Solve 2/2x=3/2x+7/12

$$\frac { 2 } { 2 } x = \frac { 3 } { 2 } x + \frac { 7 } { 12 }$$

Solve for x

$$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$$

Steps for Solving Linear Equation

Divide 2 by 2 to get 1.

$$1x=\frac{3}{2}x+\frac{7}{12}$$

Subtract \frac{3}{2}x from both sides.

$$1x-\frac{3}{2}x=\frac{7}{12}$$

Combine 1x and -\frac{3}{2}x to get -\frac{1}{2}x.

$$-\frac{1}{2}x=\frac{7}{12}$$

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

$$x=\frac{7}{12}\left(-2\right)$$

Express \frac{7}{12}\left(-2\right) as a single fraction.

$$x=\frac{7\left(-2\right)}{12}$$

Multiply 7 and -2 to get -14.

$$x=\frac{-14}{12}$$

Reduce the fraction \frac{-14}{12} to lowest terms by extracting and canceling out 2.

$$x=-\frac{7}{6}$$