Solve 3x-7/2x=1/4x+6

$$3 x - \frac { 7 } { 2 } x = \frac { 1 } { 4 } x + 6$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Combine 3x and -\frac{7}{2}x to get -\frac{1}{2}x.

$$-\frac{1}{2}x=\frac{1}{4}x+6$$

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

$$-\frac{1}{2}x-\frac{1}{4}x=6$$

Combine -\frac{1}{2}x and -\frac{1}{4}x to get -\frac{3}{4}x.

$$-\frac{3}{4}x=6$$

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.

$$x=6\left(-\frac{4}{3}\right)$$

Express 6\left(-\frac{4}{3}\right) as a single fraction.

$$x=\frac{6\left(-4\right)}{3}$$

Multiply 6 and -4 to get -24.

$$x=\frac{-24}{3}$$

Divide -24 by 3 to get -8.

$$x=-8$$