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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

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

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

$$6x-4x+2=6+3\left(x-3\right)$$

Combine 6x and -4x to get 2x.

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

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

$$2x+2=6+3x-9$$

Subtract 9 from 6 to get -3.

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

Subtract 3x from both sides.

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

Combine 2x and -3x to get -x.

$$-x+2=-3$$

Subtract 2 from both sides.

$$-x=-3-2$$

Subtract 2 from -3 to get -5.

$$-x=-5$$

Multiply both sides by -1.

$$x=5$$