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

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

Solve for x

$$x=-13$$

Steps for Solving Linear Equation

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

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

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

$$4x-2=3\left(x+1\right)-18$$

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

$$4x-2=3x+3-18$$

Subtract 18 from 3 to get -15.

$$4x-2=3x-15$$

Subtract 3x from both sides.

$$4x-2-3x=-15$$

Combine 4x and -3x to get x.

$$x-2=-15$$

Add 2 to both sides.

$$x=-15+2$$

Add -15 and 2 to get -13.

$$x=-13$$