Algebra Examples

$- 38 = 7 u + 17 - 12 u$

Step 1

Rewrite the equation as $7 u + 17 - 12 u = - 38$ .

$7 u + 17 - 12 u = - 38$

Step 2

Subtract $12 u$ from $7 u$ .

$- 5 u + 17 = - 38$

Step 3

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

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Step 3.1

Subtract $17$ from both sides of the equation.

$- 5 u = - 38 - 17$

Step 3.2

Subtract $17$ from $- 38$ .

$- 5 u = - 55$

Step 4

Divide each term in $- 5 u = - 55$ by $- 5$ and simplify.

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Step 4.1

Divide each term in $- 5 u = - 55$ by $- 5$ .

$\frac{- 5 u}{- 5} = \frac{- 55}{- 5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 5 u}{- 5} = \frac{- 55}{- 5}$

Step 4.2.1.2

Divide $u$ by $1$ .

$u = \frac{- 55}{- 5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 55$ by $- 5$ .

$u = 11$