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

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

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$6+3\left(x-1\right)=2$$

Use the distributive property to multiply 3 by x-1.

$$6+3x-3=2$$

Subtract 3 from 6 to get 3.

$$3+3x=2$$

Subtract 3 from both sides.

$$3x=2-3$$

Subtract 3 from 2 to get -1.

$$3x=-1$$

Divide both sides by 3.

$$x=\frac{-1}{3}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$x=-\frac{1}{3}$$