Solve -x/6-2x=x-7/3+3/2

$$- \frac { x } { 6 } - 2 x = \frac { x - 7 } { 3 } + \frac { 3 } { 2 }$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3,2.

$$-x-12x=2\left(x-7\right)+9$$

Use the distributive property to multiply 2 by x-7.

$$-x-12x=2x-14+9$$

Add -14 and 9 to get -5.

$$-x-12x=2x-5$$

Subtract 2x from both sides.

$$-x-12x-2x=-5$$

Combine -12x and -2x to get -14x.

$$-x-14x=-5$$

Combine -x and -14x to get -15x.

$$-15x=-5$$

Divide both sides by -15.

$$x=\frac{-5}{-15}$$

Reduce the fraction \frac{-5}{-15} to lowest terms by extracting and canceling out -5.

$$x=\frac{1}{3}$$