Basic Math Examples

$3 (c + 2) - 4 w = 2 (c - 1) + 5$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 c + 3 \cdot 2 - 4 w = 2 (c - 1) + 5$

Step 1.2

Multiply $3$ by $2$ .

$3 c + 6 - 4 w = 2 (c - 1) + 5$

Step 2

Simplify $2 (c - 1) + 5$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 c + 6 - 4 w = 2 c + 2 \cdot - 1 + 5$

Step 2.1.2

Multiply $2$ by $- 1$ .

$3 c + 6 - 4 w = 2 c - 2 + 5$

Step 2.2

Add $- 2$ and $5$ .

$3 c + 6 - 4 w = 2 c + 3$

Step 3

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

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Step 3.1

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

$3 c + 6 - 4 w - 2 c = 3$

Step 3.2

Subtract $2 c$ from $3 c$ .

$c + 6 - 4 w = 3$

Step 4

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

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Step 4.1

Subtract $6$ from both sides of the equation.

$c - 4 w = 3 - 6$

Step 4.2

Add $4 w$ to both sides of the equation.

$c = 3 - 6 + 4 w$

Step 4.3

Subtract $6$ from $3$ .

$c = - 3 + 4 w$