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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

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

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

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

Subtract 2 from 6 to get 4.

$$4+4x=x+1$$

Subtract x from both sides.

$$4+4x-x=1$$

Combine 4x and -x to get 3x.

$$4+3x=1$$

Subtract 4 from both sides.

$$3x=1-4$$

Subtract 4 from 1 to get -3.

$$3x=-3$$

Divide both sides by 3.

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

Divide -3 by 3 to get -1.

$$x=-1$$