Pre-Algebra Examples

$- v + 5 + 4 v = 1 + 5 v + 3$

Step 1

Add $- v$ and $4 v$ .

$3 v + 5 = 1 + 5 v + 3$

Step 2

Add $1$ and $3$ .

$3 v + 5 = 5 v + 4$

Step 3

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

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Step 3.1

Subtract $5 v$ from both sides of the equation.

$3 v + 5 - 5 v = 4$

Step 3.2

Subtract $5 v$ from $3 v$ .

$- 2 v + 5 = 4$

Step 4

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

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Step 4.1

Subtract $5$ from both sides of the equation.

$- 2 v = 4 - 5$

Step 4.2

Subtract $5$ from $4$ .

$- 2 v = - 1$

Step 5

Divide each term in $- 2 v = - 1$ by $- 2$ and simplify.

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Step 5.1

Divide each term in $- 2 v = - 1$ by $- 2$ .

$\frac{- 2 v}{- 2} = \frac{- 1}{- 2}$

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.

$\frac{- 2 v}{- 2} = \frac{- 1}{- 2}$

Step 5.2.1.2

Divide $v$ by $1$ .

$v = \frac{- 1}{- 2}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Dividing two negative values results in a positive value.

$v = \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$v = \frac{1}{2}$

Decimal Form:

$v = 0.5$