Basic Math Examples

$- 2 = \frac{u - 7}{- 1}$

Step 1

Rewrite the equation as $\frac{u - 7}{- 1} = - 2$ .

$\frac{u - 7}{- 1} = - 2$

Step 2

Move the negative one from the denominator of $\frac{u - 7}{- 1}$ .

$- 1 \cdot (u - 7) = - 2$

Step 3

Solve for $u$ .

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Step 3.1

Divide each term in $- 1 \cdot (u - 7) = - 2$ by $- 1$ and simplify.

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Step 3.1.1

Divide each term in $- 1 \cdot (u - 7) = - 2$ by $- 1$ .

$\frac{- 1 \cdot (u - 7)}{- 1} = \frac{- 2}{- 1}$

Step 3.1.2

Simplify the left side.

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Step 3.1.2.1

Dividing two negative values results in a positive value.

$\frac{u - 7}{1} = \frac{- 2}{- 1}$

Step 3.1.2.2

Divide $u - 7$ by $1$ .

$u - 7 = \frac{- 2}{- 1}$

Step 3.1.3

Simplify the right side.

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Step 3.1.3.1

Divide $- 2$ by $- 1$ .

$u - 7 = 2$

Step 3.2

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

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Step 3.2.1

Add $7$ to both sides of the equation.

$u = 2 + 7$

Step 3.2.2

Add $2$ and $7$ .

$u = 9$