Algebra Examples

$2 r - (5 - r) = 13 + 2 r$

Step 1

Simplify $2 r - (5 - r)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 r - 1 \cdot 5 - - r = 13 + 2 r$

Step 1.1.2

Multiply $- 1$ by $5$ .

$2 r - 5 - - r = 13 + 2 r$

Step 1.1.3

Multiply $- - r$ .

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Step 1.1.3.1

Multiply $- 1$ by $- 1$ .

$2 r - 5 + 1 r = 13 + 2 r$

Step 1.1.3.2

Multiply $r$ by $1$ .

$2 r - 5 + r = 13 + 2 r$

Step 1.2

Add $2 r$ and $r$ .

$3 r - 5 = 13 + 2 r$

Step 2

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

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Step 2.1

Subtract $2 r$ from both sides of the equation.

$3 r - 5 - 2 r = 13$

Step 2.2

Subtract $2 r$ from $3 r$ .

$r - 5 = 13$

Step 3

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

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Step 3.1

Add $5$ to both sides of the equation.

$r = 13 + 5$

Step 3.2

Add $13$ and $5$ .

$r = 18$