Solve 2x+1/2-x=1-x+9/12

$$\frac { 2 x + 1 } { 2 } - x = 1 - \frac { x + 9 } { 12 }$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,12.

$$6\left(2x+1\right)-12x=12-\left(x+9\right)$$

Use the distributive property to multiply 6 by 2x+1.

$$12x+6-12x=12-\left(x+9\right)$$

Combine 12x and -12x to get 0.

$$6=12-\left(x+9\right)$$

To find the opposite of x+9, find the opposite of each term.

$$6=12-x-9$$

Subtract 9 from 12 to get 3.

$$6=3-x$$

Swap sides so that all variable terms are on the left hand side.

$$3-x=6$$

Subtract 3 from both sides.

$$-x=6-3$$

Subtract 3 from 6 to get 3.

$$-x=3$$

Multiply both sides by -1.

$$x=-3$$