Solve 3+1/5x+6+1/2x=x

$$3 + \frac { 1 } { 5 } x + 6 + \frac { 1 } { 2 } x = x$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Add 3 and 6 to get 9.

$$9+\frac{1}{5}x+\frac{1}{2}x=x$$

Combine \frac{1}{5}x and \frac{1}{2}x to get \frac{7}{10}x.

$$9+\frac{7}{10}x=x$$

Subtract x from both sides.

$$9+\frac{7}{10}x-x=0$$

Combine \frac{7}{10}x and -x to get -\frac{3}{10}x.

$$9-\frac{3}{10}x=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{3}{10}x=-9$$

Multiply both sides by -\frac{10}{3}, the reciprocal of -\frac{3}{10}.

$$x=-9\left(-\frac{10}{3}\right)$$

Express -9\left(-\frac{10}{3}\right) as a single fraction.

$$x=\frac{-9\left(-10\right)}{3}$$

Multiply -9 and -10 to get 90.

$$x=\frac{90}{3}$$

Divide 90 by 3 to get 30.

$$x=30$$