Pre-Algebra Examples

$15 y = 15 y - 13 x + 11$

Step 1

Rewrite the equation as $15 y - 13 x + 11 = 15 y$ .

$15 y - 13 x + 11 = 15 y$

Step 2

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

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Step 2.1

Subtract $15 y$ from both sides of the equation.

$- 13 x + 11 = 15 y - 15 y$

Step 2.2

Subtract $11$ from both sides of the equation.

$- 13 x = 15 y - 15 y - 11$

Step 2.3

Subtract $15 y$ from $15 y$ .

$- 13 x = 0 - 11$

Step 2.4

Subtract $11$ from $0$ .

$- 13 x = - 11$

Step 3

Divide each term in $- 13 x = - 11$ by $- 13$ and simplify.

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Step 3.1

Divide each term in $- 13 x = - 11$ by $- 13$ .

$\frac{- 13 x}{- 13} = \frac{- 11}{- 13}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 13$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 13 x}{- 13} = \frac{- 11}{- 13}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 11}{- 13}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Dividing two negative values results in a positive value.

$x = \frac{11}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{13}$

Decimal Form:

$x = 0.\overline{846153}$