Solve 1/6x+14=3/4x

$$\frac { 1 } { 6 } x + 14 = \frac { 3 } { 4 } x$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Subtract \frac{3}{4}x from both sides.

$$\frac{1}{6}x+14-\frac{3}{4}x=0$$

Combine \frac{1}{6}x and -\frac{3}{4}x to get -\frac{7}{12}x.

$$-\frac{7}{12}x+14=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{7}{12}x=-14$$

Multiply both sides by -\frac{12}{7}, the reciprocal of -\frac{7}{12}.

$$x=-14\left(-\frac{12}{7}\right)$$

Express -14\left(-\frac{12}{7}\right) as a single fraction.

$$x=\frac{-14\left(-12\right)}{7}$$

Multiply -14 and -12 to get 168.

$$x=\frac{168}{7}$$

Divide 168 by 7 to get 24.

$$x=24$$