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

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

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

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

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

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

$$4x+2-\left(x-2\right)=12$$

To find the opposite of x-2, find the opposite of each term.

$$4x+2-x-\left(-2\right)=12$$

The opposite of -2 is 2.

$$4x+2-x+2=12$$

Combine 4x and -x to get 3x.

$$3x+2+2=12$$

Add 2 and 2 to get 4.

$$3x+4=12$$

Subtract 4 from both sides.

$$3x=12-4$$

Subtract 4 from 12 to get 8.

$$3x=8$$

Divide both sides by 3.

$$x=\frac{8}{3}$$