Algebra Examples

- 3 (v + 4) - 2 v = 2 (v + 1)

$- 3 (v + 4) - 2 v = 2 (v + 1)$

Step 1

Simplify

- 3 (v + 4) - 2 v

$- 3 (v + 4) - 2 v$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

- 3 v - 3 \cdot 4 - 2 v = 2 (v + 1)

$- 3 v - 3 \cdot 4 - 2 v = 2 (v + 1)$

Step 1.1.2

Multiply

- 3

$- 3$ by

4

$4$ .

- 3 v - 12 - 2 v = 2 (v + 1)

$- 3 v - 12 - 2 v = 2 (v + 1)$

- 3 v - 12 - 2 v = 2 (v + 1)

$- 3 v - 12 - 2 v = 2 (v + 1)$

Step 1.2

Subtract

2 v

$2 v$ from

- 3 v

$- 3 v$ .

- 5 v - 12 = 2 (v + 1)

$- 5 v - 12 = 2 (v + 1)$

- 5 v - 12 = 2 (v + 1)

$- 5 v - 12 = 2 (v + 1)$

Step 2

Simplify

2 (v + 1)

$2 (v + 1)$ .

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Step 2.1

Apply the distributive property.

- 5 v - 12 = 2 v + 2 \cdot 1

$- 5 v - 12 = 2 v + 2 \cdot 1$

Step 2.2

Multiply

2

$2$ by

1

$1$ .

- 5 v - 12 = 2 v + 2

$- 5 v - 12 = 2 v + 2$

- 5 v - 12 = 2 v + 2

$- 5 v - 12 = 2 v + 2$

Step 3

Move all terms containing

v

$v$ to the left side of the equation.

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Step 3.1

Subtract

2 v

$2 v$ from both sides of the equation.

- 5 v - 12 - 2 v = 2

$- 5 v - 12 - 2 v = 2$

Step 3.2

Subtract

2 v

$2 v$ from

- 5 v

$- 5 v$ .

- 7 v - 12 = 2

$- 7 v - 12 = 2$

- 7 v - 12 = 2

$- 7 v - 12 = 2$

Step 4

Move all terms not containing

v

$v$ to the right side of the equation.

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Step 4.1

Add

12

$12$ to both sides of the equation.

- 7 v = 2 + 12

$- 7 v = 2 + 12$

Step 4.2

Add

2

$2$ and

12

$12$ .

- 7 v = 14

$- 7 v = 14$

- 7 v = 14

$- 7 v = 14$

Step 5

Divide each term in

- 7 v = 14

$- 7 v = 14$ by

- 7

$- 7$ and simplify.

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Step 5.1

Divide each term in

- 7 v = 14

$- 7 v = 14$ by

- 7

$- 7$ .

\frac{- 7 v}{- 7} = \frac{14}{- 7}

$\frac{- 7 v}{- 7} = \frac{14}{- 7}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

- 7

$- 7$ .

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Step 5.2.1.1

Cancel the common factor.

\frac{- 7 v}{- 7} = \frac{14}{- 7}

$\frac{- 7 v}{- 7} = \frac{14}{- 7}$

Step 5.2.1.2

Divide

v

$v$ by

1

$1$ .

v = \frac{14}{- 7}

$v = \frac{14}{- 7}$

v = \frac{14}{- 7}

$v = \frac{14}{- 7}$

v = \frac{14}{- 7}

$v = \frac{14}{- 7}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

14

$14$ by

- 7

$- 7$ .

v = - 2

$v = - 2$

v = - 2

$v = - 2$

v = - 2

$v = - 2$

- 3 (v + 4) - 2 v = 2 (v + 1)

$- 3 (v + 4) - 2 v = 2 (v + 1)$

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

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