Basic Math Examples

$4 c + 1 + 3 c + 2 + 2 c + 3 + c + 4 = 5 (2 x + 2)$

Step 1

Simplify $4 c + 1 + 3 c + 2 + 2 c + 3 + c + 4$ .

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Step 1.1

Add $4 c$ and $3 c$ .

$7 c + 1 + 2 + 2 c + 3 + c + 4 = 5 (2 x + 2)$

Step 1.2

Add $7 c$ and $2 c$ .

$9 c + 1 + 2 + 3 + c + 4 = 5 (2 x + 2)$

Step 1.3

Add $9 c$ and $c$ .

$10 c + 1 + 2 + 3 + 4 = 5 (2 x + 2)$

Step 1.4

Simplify by adding numbers.

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Step 1.4.1

Add $1$ and $2$ .

$10 c + 3 + 3 + 4 = 5 (2 x + 2)$

Step 1.4.2

Add $3$ and $3$ .

$10 c + 6 + 4 = 5 (2 x + 2)$

Step 1.4.3

Add $6$ and $4$ .

$10 c + 10 = 5 (2 x + 2)$

Step 2

Simplify $5 (2 x + 2)$ .

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Step 2.1

Apply the distributive property.

$10 c + 10 = 5 (2 x) + 5 \cdot 2$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $5$ .

$10 c + 10 = 10 x + 5 \cdot 2$

Step 2.2.2

Multiply $5$ by $2$ .

$10 c + 10 = 10 x + 10$

Step 3

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

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Step 3.1

Subtract $10$ from both sides of the equation.

$10 c = 10 x + 10 - 10$

Step 3.2

Combine the opposite terms in $10 x + 10 - 10$ .

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Step 3.2.1

Subtract $10$ from $10$ .

$10 c = 10 x + 0$

Step 3.2.2

Add $10 x$ and $0$ .

$10 c = 10 x$

Step 4

Divide each term in $10 c = 10 x$ by $10$ and simplify.

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Step 4.1

Divide each term in $10 c = 10 x$ by $10$ .

$\frac{10 c}{10} = \frac{10 x}{10}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $10$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{10 c}{10} = \frac{10 x}{10}$

Step 4.2.1.2

Divide $c$ by $1$ .

$c = \frac{10 x}{10}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $10$ .

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Step 4.3.1.1

Cancel the common factor.

$c = \frac{10 x}{10}$

Step 4.3.1.2

Divide $x$ by $1$ .

$c = x$