Solve for x 2/3(-3.1-x)=5

$\frac{2}{3} (- 3.1 - x) = 5$

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

$\frac{3}{2} (\frac{2}{3} \cdot (- 3.1 - x)) = \frac{3}{2} \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{2} (\frac{2}{3} \cdot (- 3.1 - x))$ .

Apply the distributive property.

$\frac{3}{2} (\frac{2}{3} \cdot - 3.1 + \frac{2}{3} (- x)) = \frac{3}{2} \cdot 5$

Multiply $\frac{2}{3} \cdot - 3.1$ .

Combine $\frac{2}{3}$ and $- 3.1$ .

$\frac{3}{2} (\frac{2 \cdot - 3.1}{3} + \frac{2}{3} (- x)) = \frac{3}{2} \cdot 5$

Multiply $2$ by $- 3.1$ .

$\frac{3}{2} (\frac{- 6.2}{3} + \frac{2}{3} (- x)) = \frac{3}{2} \cdot 5$

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

$\frac{3}{2} (\frac{- 6.2}{3} - \frac{2 x}{3}) = \frac{3}{2} \cdot 5$

Divide $- 6.2$ by $3$ .

$\frac{3}{2} (- 2.0\overline{6} - \frac{2 x}{3}) = \frac{3}{2} \cdot 5$

Apply the distributive property.

$\frac{3}{2} \cdot - 2.0\overline{6} + \frac{3}{2} (- \frac{2 x}{3}) = \frac{3}{2} \cdot 5$

Multiply $\frac{3}{2} \cdot - 2.0\overline{6}$ .

Combine $\frac{3}{2}$ and $- 2.0\overline{6}$ .

$\frac{3 \cdot - 2.0\overline{6}}{2} + \frac{3}{2} (- \frac{2 x}{3}) = \frac{3}{2} \cdot 5$

Multiply $3$ by $- 2.0\overline{6}$ .

$\frac{- 6.2}{2} + \frac{3}{2} (- \frac{2 x}{3}) = \frac{3}{2} \cdot 5$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{2 x}{3}$ into the numerator.

$\frac{- 6.2}{2} + \frac{3}{2} \cdot \frac{- 2 x}{3} = \frac{3}{2} \cdot 5$

Cancel the common factor.

$\frac{- 6.2}{2} + \frac{3}{2} \cdot \frac{- 2 x}{3} = \frac{3}{2} \cdot 5$

Rewrite the expression.

$\frac{- 6.2}{2} + \frac{1}{2} (- 2 x) = \frac{3}{2} \cdot 5$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2 x$ .

$\frac{- 6.2}{2} + \frac{1}{2} (2 (- x)) = \frac{3}{2} \cdot 5$

Cancel the common factor.

$\frac{- 6.2}{2} + \frac{1}{2} (2 (- x)) = \frac{3}{2} \cdot 5$

Rewrite the expression.

$\frac{- 6.2}{2} - x = \frac{3}{2} \cdot 5$

Divide $- 6.2$ by $2$ .

$- 3.1 - x = \frac{3}{2} \cdot 5$

Simplify the right side.

Multiply $\frac{3}{2} \cdot 5$ .

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

$- 3.1 - x = \frac{3 \cdot 5}{2}$

Multiply $3$ by $5$ .

$- 3.1 - x = \frac{15}{2}$

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

Add $3.1$ to both sides of the equation.

$- x = \frac{15}{2} + 3.1$

To write $3.1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- x = \frac{15}{2} + 3.1 \cdot \frac{2}{2}$

Combine $3.1$ and $\frac{2}{2}$ .

$- x = \frac{15}{2} + \frac{3.1 \cdot 2}{2}$

Combine the numerators over the common denominator.

$- x = \frac{15 + 3.1 \cdot 2}{2}$

Simplify the numerator.

Multiply $3.1$ by $2$ .

$- x = \frac{15 + 6.2}{2}$

Add $15$ and $6.2$ .

$- x = \frac{21.2}{2}$

Divide $21.2$ by $2$ .

$- x = 10.6$

Divide each term in $- x = 10.6$ by $- 1$ and simplify.

Divide each term in $- x = 10.6$ by $- 1$ .

$\frac{- x}{- 1} = \frac{10.6}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{10.6}{- 1}$

Divide $x$ by $1$ .

$x = \frac{10.6}{- 1}$

Simplify the right side.

Divide $10.6$ by $- 1$ .

$x = - 10.6$

Solve for x 2/3(-3.1-x)=5

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