Solve -3/4x+2=2/4x-4

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

Solve for x

$$x = \frac{24}{5} = 4\frac{4}{5} = 4.8$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Subtract \frac{1}{2}x from both sides.

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

Combine -\frac{3}{4}x and -\frac{1}{2}x to get -\frac{5}{4}x.

$$-\frac{5}{4}x+2=-4$$

Subtract 2 from both sides.

$$-\frac{5}{4}x=-4-2$$

Subtract 2 from -4 to get -6.

$$-\frac{5}{4}x=-6$$

Multiply both sides by -\frac{4}{5}, the reciprocal of -\frac{5}{4}.

$$x=-6\left(-\frac{4}{5}\right)$$

Express -6\left(-\frac{4}{5}\right) as a single fraction.

$$x=\frac{-6\left(-4\right)}{5}$$

Multiply -6 and -4 to get 24.

$$x=\frac{24}{5}$$