Solve x-x+2/12=5/2x

$$x - \frac { x + 2 } { 12 } = \frac { 5 } { 2 } x$$

Solve for x

$$x=-\frac{2}{19}\approx -0.105263158$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 12,2.

$$12x-\left(x+2\right)=30x$$

To find the opposite of x+2, find the opposite of each term.

$$12x-x-2=30x$$

Combine 12x and -x to get 11x.

$$11x-2=30x$$

Subtract 30x from both sides.

$$11x-2-30x=0$$

Combine 11x and -30x to get -19x.

$$-19x-2=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-19x=2$$

Divide both sides by -19.

$$x=\frac{2}{-19}$$

Fraction \frac{2}{-19} can be rewritten as -\frac{2}{19} by extracting the negative sign.

$$x=-\frac{2}{19}$$