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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$12-2\left(2x+1\right)=3\left(1+x\right)$$

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

$$12-4x-2=3\left(1+x\right)$$

Subtract 2 from 12 to get 10.

$$10-4x=3\left(1+x\right)$$

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

$$10-4x=3+3x$$

Subtract 3x from both sides.

$$10-4x-3x=3$$

Combine -4x and -3x to get -7x.

$$10-7x=3$$

Subtract 10 from both sides.

$$-7x=3-10$$

Subtract 10 from 3 to get -7.

$$-7x=-7$$

Divide both sides by -7.

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

Divide -7 by -7 to get 1.

$$x=1$$