Basic Math Examples

$\frac{23 - 11 c}{7} = 5 c$

Step 1

Multiply both sides by $7$ .

$\frac{23 - 11 c}{7} \cdot 7 = 5 c \cdot 7$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{23 - 11 c}{7} \cdot 7$ .

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Step 2.1.1.1

Cancel the common factor of $7$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{23 - 11 c}{7} \cdot 7 = 5 c \cdot 7$

Step 2.1.1.1.2

Rewrite the expression.

$23 - 11 c = 5 c \cdot 7$

$23 - 11 c = 5 c \cdot 7$

Step 2.1.1.2

Reorder $23$ and $- 11 c$ .

$- 11 c + 23 = 5 c \cdot 7$

$- 11 c + 23 = 5 c \cdot 7$

$- 11 c + 23 = 5 c \cdot 7$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $7$ by $5$ .

$- 11 c + 23 = 35 c$

$- 11 c + 23 = 35 c$

$- 11 c + 23 = 35 c$

Step 3

Solve for $c$ .

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Step 3.1

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

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Step 3.1.1

Subtract $35 c$ from both sides of the equation.

$- 11 c + 23 - 35 c = 0$

Step 3.1.2

Subtract $35 c$ from $- 11 c$ .

$- 46 c + 23 = 0$

$- 46 c + 23 = 0$

Step 3.2

Subtract $23$ from both sides of the equation.

$- 46 c = - 23$

Step 3.3

Divide each term in $- 46 c = - 23$ by $- 46$ and simplify.

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Step 3.3.1

Divide each term in $- 46 c = - 23$ by $- 46$ .

$\frac{- 46 c}{- 46} = \frac{- 23}{- 46}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $- 46$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{- 46 c}{- 46} = \frac{- 23}{- 46}$

Step 3.3.2.1.2

Divide $c$ by $1$ .

$c = \frac{- 23}{- 46}$

$c = \frac{- 23}{- 46}$

$c = \frac{- 23}{- 46}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Cancel the common factor of $- 23$ and $- 46$ .

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Step 3.3.3.1.1

Factor $- 23$ out of $- 23$ .

$c = \frac{- 23 (1)}{- 46}$

Step 3.3.3.1.2

Cancel the common factors.

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Step 3.3.3.1.2.1

Factor $- 23$ out of $- 46$ .

$c = \frac{- 23 \cdot 1}{- 23 \cdot 2}$

Step 3.3.3.1.2.2

Cancel the common factor.

$c = \frac{- 23 \cdot 1}{- 23 \cdot 2}$

Step 3.3.3.1.2.3

Rewrite the expression.

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

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

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

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

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$c = 0.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$