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

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

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,2.

$$4\times 2x-3=6x-6$$

Multiply 4 and 2 to get 8.

$$8x-3=6x-6$$

Subtract 6x from both sides.

$$8x-3-6x=-6$$

Combine 8x and -6x to get 2x.

$$2x-3=-6$$

Add 3 to both sides.

$$2x=-6+3$$

Add -6 and 3 to get -3.

$$2x=-3$$

Divide both sides by 2.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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