Solve 3x+2/4+x+7/3-x+1/2=0

$$\frac { 3 x + 2 } { 4 } + \frac { x + 7 } { 3 } - \frac { x + 1 } { 2 } = 0$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

$$3\left(3x+2\right)+4\left(x+7\right)-6\left(x+1\right)=0$$

Use the distributive property to multiply 3 by 3x+2.

$$9x+6+4\left(x+7\right)-6\left(x+1\right)=0$$

Use the distributive property to multiply 4 by x+7.

$$9x+6+4x+28-6\left(x+1\right)=0$$

Combine 9x and 4x to get 13x.

$$13x+6+28-6\left(x+1\right)=0$$

Add 6 and 28 to get 34.

$$13x+34-6\left(x+1\right)=0$$

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

$$13x+34-6x-6=0$$

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

$$7x+34-6=0$$

Subtract 6 from 34 to get 28.

$$7x+28=0$$

Subtract 28 from both sides. Anything subtracted from zero gives its negation.

$$7x=-28$$

Divide both sides by 7.

$$x=\frac{-28}{7}$$

Divide -28 by 7 to get -4.

$$x=-4$$