Basic Math Examples

$2 a - 5 + 12 c = 2 a + b$

Step 1

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

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Step 1.1

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

$- 5 + 12 c = 2 a + b - 2 a$

Step 1.2

Add $5$ to both sides of the equation.

$12 c = 2 a + b - 2 a + 5$

Step 1.3

Combine the opposite terms in $2 a + b - 2 a + 5$ .

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Step 1.3.1

Subtract $2 a$ from $2 a$ .

$12 c = b + 0 + 5$

Step 1.3.2

Add $b$ and $0$ .

$12 c = b + 5$

Step 2

Divide each term in $12 c = b + 5$ by $12$ and simplify.

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Step 2.1

Divide each term in $12 c = b + 5$ by $12$ .

$\frac{12 c}{12} = \frac{b}{12} + \frac{5}{12}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $12$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{12 c}{12} = \frac{b}{12} + \frac{5}{12}$

Step 2.2.1.2

Divide $c$ by $1$ .

$c = \frac{b}{12} + \frac{5}{12}$