Basic Math Examples

$10 c = 2 c - 6 c + 7$

Step 1

Since $c$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 c - 6 c + 7 = 10 c$

Step 2

Subtract $6 c$ from $2 c$ .

$- 4 c + 7 = 10 c$

Step 3

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

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Step 3.1

Subtract $10 c$ from both sides of the equation.

$- 4 c + 7 - 10 c = 0$

Step 3.2

Subtract $10 c$ from $- 4 c$ .

$- 14 c + 7 = 0$

Step 4

Subtract $7$ from both sides of the equation.

$- 14 c = - 7$

Step 5

Divide each term in $- 14 c = - 7$ by $- 14$ and simplify.

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Step 5.1

Divide each term in $- 14 c = - 7$ by $- 14$ .

$\frac{- 14 c}{- 14} = \frac{- 7}{- 14}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 14$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 14 c}{- 14} = \frac{- 7}{- 14}$

Step 5.2.1.2

Divide $c$ by $1$ .

$c = \frac{- 7}{- 14}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $- 7$ and $- 14$ .

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Step 5.3.1.1

Factor $- 7$ out of $- 7$ .

$c = \frac{- 7 (1)}{- 14}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $- 7$ out of $- 14$ .

$c = \frac{- 7 \cdot 1}{- 7 \cdot 2}$

Step 5.3.1.2.2

Cancel the common factor.

$c = \frac{- 7 \cdot 1}{- 7 \cdot 2}$

Step 5.3.1.2.3

Rewrite the expression.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$c = 0.5$