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

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

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

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

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

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

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

Subtract 6 from 3 to get -3.

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

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

$$3x-3=4-6x$$

Add 6x to both sides.

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

Combine 3x and 6x to get 9x.

$$9x-3=4$$

Add 3 to both sides.

$$9x=4+3$$

Add 4 and 3 to get 7.

$$9x=7$$

Divide both sides by 9.

$$x=\frac{7}{9}$$