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

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

Solve for x

$$x = \frac{48}{11} = 4\frac{4}{11} \approx 4.363636364$$

Steps for Solving Linear Equation

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

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

Combine -\frac{1}{4}x and -\frac{2}{3}x to get -\frac{11}{12}x.

$$-\frac{11}{12}x+6=2$$

Subtract 6 from both sides.

$$-\frac{11}{12}x=2-6$$

Subtract 6 from 2 to get -4.

$$-\frac{11}{12}x=-4$$

Multiply both sides by -\frac{12}{11}, the reciprocal of -\frac{11}{12}.

$$x=-4\left(-\frac{12}{11}\right)$$

Express -4\left(-\frac{12}{11}\right) as a single fraction.

$$x=\frac{-4\left(-12\right)}{11}$$

Multiply -4 and -12 to get 48.

$$x=\frac{48}{11}$$