Solve 5-x/3-x/4=x-1/2

$$\frac { 5 - x } { 3 } - \frac { x } { 4 } = \frac { x - 1 } { 2 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$4\left(5-x\right)-3x=6\left(x-1\right)$$

Use the distributive property to multiply 4 by 5-x.

$$20-4x-3x=6\left(x-1\right)$$

Combine -4x and -3x to get -7x.

$$20-7x=6\left(x-1\right)$$

Use the distributive property to multiply 6 by x-1.

$$20-7x=6x-6$$

Subtract 6x from both sides.

$$20-7x-6x=-6$$

Combine -7x and -6x to get -13x.

$$20-13x=-6$$

Subtract 20 from both sides.

$$-13x=-6-20$$

Subtract 20 from -6 to get -26.

$$-13x=-26$$

Divide both sides by -13.

$$x=\frac{-26}{-13}$$

Divide -26 by -13 to get 2.

$$x=2$$