Finite Math Examples

$- \frac{1}{2} x = - 6 - y$

Step 1

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{1}{2} x) = - 2 (- 6 - y)$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 2 (- \frac{1}{2} x)$ .

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Step 2.1.1.1

Combine $x$ and $\frac{1}{2}$ .

$- 2 (- \frac{x}{2}) = - 2 (- 6 - y)$

Step 2.1.1.2

Cancel the common factor of $2$ .

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Step 2.1.1.2.1

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

$- 2 \frac{- x}{2} = - 2 (- 6 - y)$

Step 2.1.1.2.2

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 (- 6 - y)$

Step 2.1.1.2.3

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 (- 6 - y)$

Step 2.1.1.2.4

Rewrite the expression.

$- - x = - 2 (- 6 - y)$

$- - x = - 2 (- 6 - y)$

Step 2.1.1.3

Multiply.

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 x = - 2 (- 6 - y)$

Step 2.1.1.3.2

Multiply $x$ by $1$ .

$x = - 2 (- 6 - y)$

$x = - 2 (- 6 - y)$

$x = - 2 (- 6 - y)$

$x = - 2 (- 6 - y)$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 2 (- 6 - y)$ .

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Step 2.2.1.1

Apply the distributive property.

$x = - 2 \cdot - 6 - 2 (- y)$

Step 2.2.1.2

Multiply.

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Step 2.2.1.2.1

Multiply $- 2$ by $- 6$ .

$x = 12 - 2 (- y)$

Step 2.2.1.2.2

Multiply $- 1$ by $- 2$ .

$x = 12 + 2 y$

$x = 12 + 2 y$

$x = 12 + 2 y$

$x = 12 + 2 y$

$x = 12 + 2 y$

Step 3

Reorder $12$ and $2 y$ .

$x = 2 y + 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$