Solve 2w+1/3w-3w-2/w=0

$$\frac { 2 w + 1 } { 3 w } - \frac { 3 w - 2 } { w } = 0$$

Solve for w

$$w=1$$

Steps for Solving Linear Equation

Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3w, the least common multiple of 3w,w.

$$2w+1-3\left(3w-2\right)=0$$

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

$$2w+1-9w+6=0$$

Combine 2w and -9w to get -7w.

$$-7w+1+6=0$$

Add 1 and 6 to get 7.

$$-7w+7=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$-7w=-7$$

Divide both sides by -7.

$$w=\frac{-7}{-7}$$

Divide -7 by -7 to get 1.

$$w=1$$