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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by 2x-3.

$$4x-6-3\left(x-1\right)=6-2x$$

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

$$4x-6-3x+3=6-2x$$

Combine 4x and -3x to get x.

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

Add -6 and 3 to get -3.

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

Add 2x to both sides.

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

Combine x and 2x to get 3x.

$$3x-3=6$$

Add 3 to both sides.

$$3x=6+3$$

Add 6 and 3 to get 9.

$$3x=9$$

Divide both sides by 3.

$$x=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x=3$$