Solve 1/5x+1/3x+14/1=x

$$\frac{ 1 }{ 5 } x+ \frac{ 1 }{ 3 } x+ \frac{ 14 }{ 1 } = x$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Combine \frac{1}{5}x and \frac{1}{3}x to get \frac{8}{15}x.

$$\frac{8}{15}x+\frac{14}{1}=x$$

Anything divided by one gives itself.

$$\frac{8}{15}x+14=x$$

Subtract x from both sides.

$$\frac{8}{15}x+14-x=0$$

Combine \frac{8}{15}x and -x to get -\frac{7}{15}x.

$$-\frac{7}{15}x+14=0$$

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

$$-\frac{7}{15}x=-14$$

Multiply both sides by -\frac{15}{7}, the reciprocal of -\frac{7}{15}.

$$x=-14\left(-\frac{15}{7}\right)$$

Express -14\left(-\frac{15}{7}\right) as a single fraction.

$$x=\frac{-14\left(-15\right)}{7}$$

Multiply -14 and -15 to get 210.

$$x=\frac{210}{7}$$

Divide 210 by 7 to get 30.

$$x=30$$