Solve (2)x+2/4-2x-3/6=1

$$( 2 ) \frac { x + 2 } { 4 } - \frac { 2 x - 3 } { 6 } = 1$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$6\left(x+2\right)-2\left(2x-3\right)=12$$

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

$$6x+12-2\left(2x-3\right)=12$$

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

$$6x+12-4x+6=12$$

Combine 6x and -4x to get 2x.

$$2x+12+6=12$$

Add 12 and 6 to get 18.

$$2x+18=12$$

Subtract 18 from both sides.

$$2x=12-18$$

Subtract 18 from 12 to get -6.

$$2x=-6$$

Divide both sides by 2.

$$x=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$x=-3$$