Algebra Examples

$- 243 = - 9 (10 + x)$

Step 1

Rewrite the equation as $- 9 (10 + x) = - 243$ .

$- 9 (10 + x) = - 243$

Step 2

Divide each term in $- 9 (10 + x) = - 243$ by $- 9$ and simplify.

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Step 2.1

Divide each term in $- 9 (10 + x) = - 243$ by $- 9$ .

$\frac{- 9 (10 + x)}{- 9} = \frac{- 243}{- 9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 9 (10 + x)}{- 9} = \frac{- 243}{- 9}$

Step 2.2.1.2

Divide $10 + x$ by $1$ .

$10 + x = \frac{- 243}{- 9}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 243$ by $- 9$ .

$10 + x = 27$

Step 3

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

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Step 3.1

Subtract $10$ from both sides of the equation.

$x = 27 - 10$

Step 3.2

Subtract $10$ from $27$ .

$x = 17$