Solve for x -3=(9(5-2x))/5

$- 3 = \frac{9 (5 - 2 x)}{5}$

Rewrite the equation as $\frac{9 (5 - 2 x)}{5} = - 3$ .

$\frac{9 (5 - 2 x)}{5} = - 3$

Multiply both sides by $5$ .

$\frac{9 (5 - 2 x)}{5} \cdot 5 = - 3 \cdot 5$

Simplify.

Simplify the left side.

Simplify $\frac{9 (5 - 2 x)}{5} \cdot 5$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{9 (5 - 2 x)}{5} \cdot 5 = - 3 \cdot 5$

Rewrite the expression.

$9 (5 - 2 x) = - 3 \cdot 5$

Apply the distributive property.

$9 \cdot 5 + 9 (- 2 x) = - 3 \cdot 5$

Simplify the expression.

Multiply $9$ by $5$ .

$45 + 9 (- 2 x) = - 3 \cdot 5$

Multiply $- 2$ by $9$ .

$45 - 18 x = - 3 \cdot 5$

Reorder $45$ and $- 18 x$ .

$- 18 x + 45 = - 3 \cdot 5$

Simplify the right side.

Multiply $- 3$ by $5$ .

$- 18 x + 45 = - 15$

Solve for $x$ .

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

Subtract $45$ from both sides of the equation.

$- 18 x = - 15 - 45$

Subtract $45$ from $- 15$ .

$- 18 x = - 60$

Divide each term in $- 18 x = - 60$ by $- 18$ and simplify.

Divide each term in $- 18 x = - 60$ by $- 18$ .

$\frac{- 18 x}{- 18} = \frac{- 60}{- 18}$

Simplify the left side.

Cancel the common factor of $- 18$ .

Cancel the common factor.

$\frac{- 18 x}{- 18} = \frac{- 60}{- 18}$

Divide $x$ by $1$ .

$x = \frac{- 60}{- 18}$

Simplify the right side.

Cancel the common factor of $- 60$ and $- 18$ .

Factor $- 6$ out of $- 60$ .

$x = \frac{- 6 (10)}{- 18}$

Cancel the common factors.

Factor $- 6$ out of $- 18$ .

$x = \frac{- 6 \cdot 10}{- 6 \cdot 3}$

Cancel the common factor.

$x = \frac{- 6 \cdot 10}{- 6 \cdot 3}$

Rewrite the expression.

$x = \frac{10}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{3}$

Decimal Form:

$x = 3.\overline{3}$

Mixed Number Form:

$x = 3 \frac{1}{3}$

Solve for x -3=(9(5-2x))/5

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