Solve x-2/3-x+1/12=4x-3/12

$$\frac { x - 2 } { 3 } - \frac { x + 1 } { 12 } = \frac { 4 x - 3 } { 12 }$$

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,12.

$$4\left(x-2\right)-\left(x+1\right)=4x-3$$

Use the distributive property to multiply 4 by x-2.

$$4x-8-\left(x+1\right)=4x-3$$

To find the opposite of x+1, find the opposite of each term.

$$4x-8-x-1=4x-3$$

Combine 4x and -x to get 3x.

$$3x-8-1=4x-3$$

Subtract 1 from -8 to get -9.

$$3x-9=4x-3$$

Subtract 4x from both sides.

$$3x-9-4x=-3$$

Combine 3x and -4x to get -x.

$$-x-9=-3$$

Add 9 to both sides.

$$-x=-3+9$$

Add -3 and 9 to get 6.

$$-x=6$$

Multiply both sides by -1.

$$x=-6$$