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

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

Solve for x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

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

$$2\left(2x-1\right)=6-\left(2x+1\right)$$

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

$$4x-2=6-\left(2x+1\right)$$

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

$$4x-2=6-2x-1$$

Subtract 1 from 6 to get 5.

$$4x-2=5-2x$$

Add 2x to both sides.

$$4x-2+2x=5$$

Combine 4x and 2x to get 6x.

$$6x-2=5$$

Add 2 to both sides.

$$6x=5+2$$

Add 5 and 2 to get 7.

$$6x=7$$

Divide both sides by 6.

$$x=\frac{7}{6}$$