Solve 5x+1/3-3/4-4x+3/12-2x+1/2=0

$$\frac { 5 x + 1 } { 3 } - \frac { 3 } { 4 } - \frac { 4 x + 3 } { 12 } - \frac { 2 x + 1 } { 2 } = 0$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

$$4\left(5x+1\right)-9-\left(4x+3\right)-6\left(2x+1\right)=0$$

Use the distributive property to multiply 4 by 5x+1.

$$20x+4-9-\left(4x+3\right)-6\left(2x+1\right)=0$$

Subtract 9 from 4 to get -5.

$$20x-5-\left(4x+3\right)-6\left(2x+1\right)=0$$

To find the opposite of 4x+3, find the opposite of each term.

$$20x-5-4x-3-6\left(2x+1\right)=0$$

Combine 20x and -4x to get 16x.

$$16x-5-3-6\left(2x+1\right)=0$$

Subtract 3 from -5 to get -8.

$$16x-8-6\left(2x+1\right)=0$$

Use the distributive property to multiply -6 by 2x+1.

$$16x-8-12x-6=0$$

Combine 16x and -12x to get 4x.

$$4x-8-6=0$$

Subtract 6 from -8 to get -14.

$$4x-14=0$$

Add 14 to both sides. Anything plus zero gives itself.

$$4x=14$$

Divide both sides by 4.

$$x=\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{2}$$