Solve 2(3-x/4)=2x+5/3-1/3

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$24\left(3-\frac{x}{4}\right)=4\left(2x+5\right)-4$$

Use the distributive property to multiply 24 by 3-\frac{x}{4}.

$$72+24\left(-\frac{x}{4}\right)=4\left(2x+5\right)-4$$

Cancel out 4, the greatest common factor in 24 and 4.

$$72-6x=4\left(2x+5\right)-4$$

Use the distributive property to multiply 4 by 2x+5.

$$72-6x=8x+20-4$$

Subtract 4 from 20 to get 16.

$$72-6x=8x+16$$

Subtract 8x from both sides.

$$72-6x-8x=16$$

Combine -6x and -8x to get -14x.

$$72-14x=16$$

Subtract 72 from both sides.

$$-14x=16-72$$

Subtract 72 from 16 to get -56.

$$-14x=-56$$

Divide both sides by -14.

$$x=\frac{-56}{-14}$$

Divide -56 by -14 to get 4.

$$x=4$$