Basic Math Examples

$- 16 x + 8 y = 56$

Step 1

Subtract $8 y$ from both sides of the equation.

$- 16 x = 56 - 8 y$

Step 2

Divide each term in $- 16 x = 56 - 8 y$ by $- 16$ and simplify.

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Step 2.1

Divide each term in $- 16 x = 56 - 8 y$ by $- 16$ .

$\frac{- 16 x}{- 16} = \frac{56}{- 16} + \frac{- 8 y}{- 16}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 16$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 16 x}{- 16} = \frac{56}{- 16} + \frac{- 8 y}{- 16}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{56}{- 16} + \frac{- 8 y}{- 16}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $56$ and $- 16$ .

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Step 2.3.1.1.1

Factor $8$ out of $56$ .

$x = \frac{8 (7)}{- 16} + \frac{- 8 y}{- 16}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $8$ out of $- 16$ .

$x = \frac{8 \cdot 7}{8 \cdot - 2} + \frac{- 8 y}{- 16}$

Step 2.3.1.1.2.2

Cancel the common factor.

$x = \frac{8 \cdot 7}{8 \cdot - 2} + \frac{- 8 y}{- 16}$

Step 2.3.1.1.2.3

Rewrite the expression.

$x = \frac{7}{- 2} + \frac{- 8 y}{- 16}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = - \frac{7}{2} + \frac{- 8 y}{- 16}$

Step 2.3.1.3

Cancel the common factor of $- 8$ and $- 16$ .

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Step 2.3.1.3.1

Factor $- 8$ out of $- 8 y$ .

$x = - \frac{7}{2} + \frac{- 8 (y)}{- 16}$

Step 2.3.1.3.2

Cancel the common factors.

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Step 2.3.1.3.2.1

Factor $- 8$ out of $- 16$ .

$x = - \frac{7}{2} + \frac{- 8 (y)}{- 8 (2)}$

Step 2.3.1.3.2.2

Cancel the common factor.

$x = - \frac{7}{2} + \frac{- 8 y}{- 8 \cdot 2}$

Step 2.3.1.3.2.3

Rewrite the expression.

$x = - \frac{7}{2} + \frac{y}{2}$