Solve 2x/3-2=3x/23

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

Solve for x

$$x=-\frac{12}{23}\approx -0.52173913$$

Steps for Solving Linear Equation

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

$$4x-12=9x\times 3$$

Multiply 9 and 3 to get 27.

$$4x-12=27x$$

Subtract 27x from both sides.

$$4x-12-27x=0$$

Combine 4x and -27x to get -23x.

$$-23x-12=0$$

Add 12 to both sides. Anything plus zero gives itself.

$$-23x=12$$

Divide both sides by -23.

$$x=\frac{12}{-23}$$

Fraction \frac{12}{-23} can be rewritten as -\frac{12}{23} by extracting the negative sign.

$$x=-\frac{12}{23}$$