Solve x+1/3-x-4/4=5/12x

$$\frac { x + 1 } { 3 } - \frac { x - 4 } { 4 } = \frac { 5 } { 12 } x$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 4 by x+1.

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

Use the distributive property to multiply -3 by x-4.

$$4x+4-3x+12=5x$$

Combine 4x and -3x to get x.

$$x+4+12=5x$$

Add 4 and 12 to get 16.

$$x+16=5x$$

Subtract 5x from both sides.

$$x+16-5x=0$$

Combine x and -5x to get -4x.

$$-4x+16=0$$

Subtract 16 from both sides. Anything subtracted from zero gives its negation.

$$-4x=-16$$

Divide both sides by -4.

$$x=\frac{-16}{-4}$$

Divide -16 by -4 to get 4.

$$x=4$$