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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

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

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

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

Use the distributive property to multiply -4 by 2x+1.

$$9x-6-8x-4=6\left(3x+4\right)$$

Combine 9x and -8x to get x.

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

Subtract 4 from -6 to get -10.

$$x-10=6\left(3x+4\right)$$

Use the distributive property to multiply 6 by 3x+4.

$$x-10=18x+24$$

Subtract 18x from both sides.

$$x-10-18x=24$$

Combine x and -18x to get -17x.

$$-17x-10=24$$

Add 10 to both sides.

$$-17x=24+10$$

Add 24 and 10 to get 34.

$$-17x=34$$

Divide both sides by -17.

$$x=\frac{34}{-17}$$

Divide 34 by -17 to get -2.

$$x=-2$$