Solve for x 2/5(-3.6-x)=5

$\frac{2}{5} (- 3.6 - x) = 5$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} (\frac{2}{5} \cdot (- 3.6 - x)) = \frac{5}{2} \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} (\frac{2}{5} \cdot (- 3.6 - x))$ .

Apply the distributive property.

$\frac{5}{2} (\frac{2}{5} \cdot - 3.6 + \frac{2}{5} (- x)) = \frac{5}{2} \cdot 5$

Multiply $\frac{2}{5} \cdot - 3.6$ .

Combine $\frac{2}{5}$ and $- 3.6$ .

$\frac{5}{2} (\frac{2 \cdot - 3.6}{5} + \frac{2}{5} (- x)) = \frac{5}{2} \cdot 5$

Multiply $2$ by $- 3.6$ .

$\frac{5}{2} (\frac{- 7.2}{5} + \frac{2}{5} (- x)) = \frac{5}{2} \cdot 5$

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

$\frac{5}{2} (\frac{- 7.2}{5} - \frac{2 x}{5}) = \frac{5}{2} \cdot 5$

Divide $- 7.2$ by $5$ .

$\frac{5}{2} (- 1.44 - \frac{2 x}{5}) = \frac{5}{2} \cdot 5$

Apply the distributive property.

$\frac{5}{2} \cdot - 1.44 + \frac{5}{2} (- \frac{2 x}{5}) = \frac{5}{2} \cdot 5$

Multiply $\frac{5}{2} \cdot - 1.44$ .

Combine $\frac{5}{2}$ and $- 1.44$ .

$\frac{5 \cdot - 1.44}{2} + \frac{5}{2} (- \frac{2 x}{5}) = \frac{5}{2} \cdot 5$

Multiply $5$ by $- 1.44$ .

$\frac{- 7.2}{2} + \frac{5}{2} (- \frac{2 x}{5}) = \frac{5}{2} \cdot 5$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{2 x}{5}$ into the numerator.

$\frac{- 7.2}{2} + \frac{5}{2} \cdot \frac{- 2 x}{5} = \frac{5}{2} \cdot 5$

Cancel the common factor.

$\frac{- 7.2}{2} + \frac{5}{2} \cdot \frac{- 2 x}{5} = \frac{5}{2} \cdot 5$

Rewrite the expression.

$\frac{- 7.2}{2} + \frac{1}{2} (- 2 x) = \frac{5}{2} \cdot 5$

Cancel the common factor of $2$ .

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

$\frac{- 7.2}{2} + \frac{1}{2} (2 (- x)) = \frac{5}{2} \cdot 5$

Cancel the common factor.

$\frac{- 7.2}{2} + \frac{1}{2} (2 (- x)) = \frac{5}{2} \cdot 5$

Rewrite the expression.

$\frac{- 7.2}{2} - x = \frac{5}{2} \cdot 5$

Divide $- 7.2$ by $2$ .

$- 3.6 - x = \frac{5}{2} \cdot 5$

Simplify the right side.

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

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

$- 3.6 - x = \frac{5 \cdot 5}{2}$

Multiply $5$ by $5$ .

$- 3.6 - x = \frac{25}{2}$

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

Add $3.6$ to both sides of the equation.

$- x = \frac{25}{2} + 3.6$

To write $3.6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- x = \frac{25}{2} + 3.6 \cdot \frac{2}{2}$

Combine $3.6$ and $\frac{2}{2}$ .

$- x = \frac{25}{2} + \frac{3.6 \cdot 2}{2}$

Combine the numerators over the common denominator.

$- x = \frac{25 + 3.6 \cdot 2}{2}$

Simplify the numerator.

Multiply $3.6$ by $2$ .

$- x = \frac{25 + 7.2}{2}$

Add $25$ and $7.2$ .

$- x = \frac{32.2}{2}$

Divide $32.2$ by $2$ .

$- x = 16.1$

Divide each term in $- x = 16.1$ by $- 1$ and simplify.

Divide each term in $- x = 16.1$ by $- 1$ .

$\frac{- x}{- 1} = \frac{16.1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{16.1}{- 1}$

Divide $x$ by $1$ .

$x = \frac{16.1}{- 1}$

Simplify the right side.

Divide $16.1$ by $- 1$ .

$x = - 16.1$

Solve for x 2/5(-3.6-x)=5

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