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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 12,4.

$$12x-\left(2x+1\right)=12-3\left(3x-2\right)$$

To find the opposite of 2x+1, find the opposite of each term.

$$12x-2x-1=12-3\left(3x-2\right)$$

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

$$10x-1=12-3\left(3x-2\right)$$

Use the distributive property to multiply -3 by 3x-2.

$$10x-1=12-9x+6$$

Add 12 and 6 to get 18.

$$10x-1=18-9x$$

Add 9x to both sides.

$$10x-1+9x=18$$

Combine 10x and 9x to get 19x.

$$19x-1=18$$

Add 1 to both sides.

$$19x=18+1$$

Add 18 and 1 to get 19.

$$19x=19$$

Divide both sides by 19.

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

Divide 19 by 19 to get 1.

$$x=1$$