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

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6,2.

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

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

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

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

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

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

$$-x+6+6=6$$

Add 6 and 6 to get 12.

$$-x+12=6$$

Subtract 12 from both sides.

$$-x=6-12$$

Subtract 12 from 6 to get -6.

$$-x=-6$$

Multiply both sides by -1.

$$x=6$$