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

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

Solve for x

$$x = -\frac{22}{5} = -4\frac{2}{5} = -4.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

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

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

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

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

$$4x-6-9x-12=4$$

Combine 4x and -9x to get -5x.

$$-5x-6-12=4$$

Subtract 12 from -6 to get -18.

$$-5x-18=4$$

Add 18 to both sides.

$$-5x=4+18$$

Add 4 and 18 to get 22.

$$-5x=22$$

Divide both sides by -5.

$$x=\frac{22}{-5}$$

Fraction \frac{22}{-5} can be rewritten as -\frac{22}{5} by extracting the negative sign.

$$x=-\frac{22}{5}$$