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

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

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

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

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

Subtract 4x from both sides.

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

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

$$2x+4=3$$

Subtract 4 from both sides.

$$2x=3-4$$

Subtract 4 from 3 to get -1.

$$2x=-1$$

Divide both sides by 2.

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

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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