Solve 7x-2/6-6=2x-x+1/3

$$\frac { 7 x - 2 } { 6 } - 6 = 2 x - \frac { x + 1 } { 3 }$$

Solve for x

$$x=-12$$

Steps for Solving Linear Equation

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

$$7x-2-36=12x-2\left(x+1\right)$$

Subtract 36 from -2 to get -38.

$$7x-38=12x-2\left(x+1\right)$$

Use the distributive property to multiply -2 by x+1.

$$7x-38=12x-2x-2$$

Combine 12x and -2x to get 10x.

$$7x-38=10x-2$$

Subtract 10x from both sides.

$$7x-38-10x=-2$$

Combine 7x and -10x to get -3x.

$$-3x-38=-2$$

Add 38 to both sides.

$$-3x=-2+38$$

Add -2 and 38 to get 36.

$$-3x=36$$

Divide both sides by -3.

$$x=\frac{36}{-3}$$

Divide 36 by -3 to get -12.

$$x=-12$$