Algebra Examples

$6 u = 6 (- 4 u + 5)$

Step 1

Simplify $6 (- 4 u + 5)$ .

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Step 1.1

Apply the distributive property.

$6 u = 6 (- 4 u) + 6 \cdot 5$

Step 1.2

Multiply.

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Step 1.2.1

Multiply $- 4$ by $6$ .

$6 u = - 24 u + 6 \cdot 5$

Step 1.2.2

Multiply $6$ by $5$ .

$6 u = - 24 u + 30$

Step 2

Move all terms containing $u$ to the left side of the equation.

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Step 2.1

Add $24 u$ to both sides of the equation.

$6 u + 24 u = 30$

Step 2.2

Add $6 u$ and $24 u$ .

$30 u = 30$

Step 3

Divide each term in $30 u = 30$ by $30$ and simplify.

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Step 3.1

Divide each term in $30 u = 30$ by $30$ .

$\frac{30 u}{30} = \frac{30}{30}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $30$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{30 u}{30} = \frac{30}{30}$

Step 3.2.1.2

Divide $u$ by $1$ .

$u = \frac{30}{30}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $30$ by $30$ .

$u = 1$