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

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

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

Simplify each term.

Combine $x$ and $\frac{2}{3}$ .

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

Move $2$ to the left of $x$ .

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

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

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

Simplify terms.

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

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

Combine the numerators over the common denominator.

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

Combine the numerators over the common denominator.

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

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

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

Add $- 2 x$ and $3 x$ .

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

Multiply both sides of the equation by $3$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Multiply $3 (\frac{2}{5})$ .

Combine $3$ and $\frac{2}{5}$ .

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

Multiply $3$ by $2$ .

$x + 1 = \frac{6}{5}$

Move all terms not containing $x$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$x = \frac{6}{5} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x = \frac{6}{5} - 1 \cdot \frac{5}{5}$

Combine $- 1$ and $\frac{5}{5}$ .

$x = \frac{6}{5} + \frac{- 1 \cdot 5}{5}$

Combine the numerators over the common denominator.

$x = \frac{6 - 1 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 1$ by $5$ .

$x = \frac{6 - 5}{5}$

Subtract $5$ from $6$ .

$x = \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$

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

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