Algebra Examples

$- 6 v + 10 = - 8 + 2 v - 10 v$

Step 1

Since $v$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 8 + 2 v - 10 v = - 6 v + 10$

Step 2

Subtract $10 v$ from $2 v$ .

$- 8 - 8 v = - 6 v + 10$

Step 3

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

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Step 3.1

Add $6 v$ to both sides of the equation.

$- 8 - 8 v + 6 v = 10$

Step 3.2

Add $- 8 v$ and $6 v$ .

$- 8 - 2 v = 10$

Step 4

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

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Step 4.1

Add $8$ to both sides of the equation.

$- 2 v = 10 + 8$

Step 4.2

Add $10$ and $8$ .

$- 2 v = 18$

Step 5

Divide each term in $- 2 v = 18$ by $- 2$ and simplify.

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Step 5.1

Divide each term in $- 2 v = 18$ by $- 2$ .

$\frac{- 2 v}{- 2} = \frac{18}{- 2}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 2$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 2 v}{- 2} = \frac{18}{- 2}$

Step 5.2.1.2

Divide $v$ by $1$ .

$v = \frac{18}{- 2}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $18$ by $- 2$ .

$v = - 9$