Solve for x 2=3/5x-1/3x+2/5x

$2 = \frac{3}{5} x - \frac{1}{3} x + \frac{2}{5} x$

Rewrite the equation as $\frac{3}{5} x - \frac{1}{3} x + \frac{2}{5} x = 2$ .

$\frac{3}{5} x - \frac{1}{3} x + \frac{2}{5} x = 2$

Simplify $\frac{3}{5} x - \frac{1}{3} x + \frac{2}{5} x$ .

Simplify each term.

Combine $\frac{3}{5}$ and $x$ .

$\frac{3 x}{5} - \frac{1}{3} x + \frac{2}{5} x = 2$

Combine $x$ and $\frac{1}{3}$ .

$\frac{3 x}{5} - \frac{x}{3} + \frac{2}{5} x = 2$

Combine $\frac{2}{5}$ and $x$ .

$\frac{3 x}{5} - \frac{x}{3} + \frac{2 x}{5} = 2$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{3 x + 2 x}{5} + \frac{- x}{3} = 2$

Add $3 x$ and $2 x$ .

$\frac{5 x}{5} + \frac{- x}{3} = 2$

Simplify each term.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} + \frac{- x}{3} = 2$

Divide $x$ by $1$ .

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

Move the negative in front of the fraction.

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

To write $x$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Simplify terms.

Combine $x$ and $\frac{3}{3}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Move $3$ to the left of $x$ .

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

Subtract $x$ from $3 x$ .

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

Multiply both sides of the equation by $\frac{3}{2}$ .

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

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{2} \cdot \frac{2 x}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{3}{2} \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{3}{2} \cdot 2$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{3}{2} \cdot 2$

Rewrite the expression.

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

Simplify the right side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 3$

Solve for x 2=3/5x-1/3x+2/5x

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