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

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

Solve for x

$$x=-\frac{1}{12}\approx -0.083333333$$

Steps for Solving Linear Equation

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

$$18x-2=3\left(2x+1\right)-6$$

Use the distributive property to multiply 3 by 2x+1.

$$18x-2=6x+3-6$$

Subtract 6 from 3 to get -3.

$$18x-2=6x-3$$

Subtract 6x from both sides.

$$18x-2-6x=-3$$

Combine 18x and -6x to get 12x.

$$12x-2=-3$$

Add 2 to both sides.

$$12x=-3+2$$

Add -3 and 2 to get -1.

$$12x=-1$$

Divide both sides by 12.

$$x=\frac{-1}{12}$$

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$x=-\frac{1}{12}$$