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

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

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.

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

Use the distributive property to multiply 6 by x+1.

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

Subtract 6 from 6 to get 0.

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

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

$$6x=4-6x$$

Add 6x to both sides.

$$6x+6x=4$$

Combine 6x and 6x to get 12x.

$$12x=4$$

Divide both sides by 12.

$$x=\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

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