Solve 2x+1/3-x+1/6=12

$$\frac { 2 x + 1 } { 3 } - \frac { x + 1 } { 6 } = 12$$

Solve for x

$$x = \frac{71}{3} = 23\frac{2}{3} \approx 23.666666667$$

Steps for Solving Linear Equation

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

$$2\left(2x+1\right)-\left(x+1\right)=72$$

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

$$4x+2-\left(x+1\right)=72$$

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

$$4x+2-x-1=72$$

Combine 4x and -x to get 3x.

$$3x+2-1=72$$

Subtract 1 from 2 to get 1.

$$3x+1=72$$

Subtract 1 from both sides.

$$3x=72-1$$

Subtract 1 from 72 to get 71.

$$3x=71$$

Divide both sides by 3.

$$x=\frac{71}{3}$$