Finite Math Examples

$c (x) \cdot 1600 = 50 x + 100$

Step 1

Move $1600$ to the left of $c x$ .

$1600 c x = 50 x + 100$

Step 2

Subtract $50 x$ from both sides of the equation.

$1600 c x - 50 x = 100$

Step 3

Factor $50 x$ out of $1600 c x - 50 x$ .

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Step 3.1

Factor $50 x$ out of $1600 c x$ .

$50 x (32 c) - 50 x = 100$

Step 3.2

Factor $50 x$ out of $- 50 x$ .

$50 x (32 c) + 50 x (- 1) = 100$

Step 3.3

Factor $50 x$ out of $50 x (32 c) + 50 x (- 1)$ .

$50 x (32 c - 1) = 100$

Step 4

Divide each term in $50 x (32 c - 1) = 100$ by $50 (32 c - 1)$ and simplify.

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Step 4.1

Divide each term in $50 x (32 c - 1) = 100$ by $50 (32 c - 1)$ .

$\frac{50 x (32 c - 1)}{50 (32 c - 1)} = \frac{100}{50 (32 c - 1)}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $50$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{50 x (32 c - 1)}{50 (32 c - 1)} = \frac{100}{50 (32 c - 1)}$

Step 4.2.1.2

Rewrite the expression.

$\frac{x (32 c - 1)}{32 c - 1} = \frac{100}{50 (32 c - 1)}$

Step 4.2.2

Cancel the common factor of $32 c - 1$ .

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Step 4.2.2.1

Cancel the common factor.

$\frac{x (32 c - 1)}{32 c - 1} = \frac{100}{50 (32 c - 1)}$

Step 4.2.2.2

Divide $x$ by $1$ .

$x = \frac{100}{50 (32 c - 1)}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $100$ and $50$ .

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Step 4.3.1.1

Factor $50$ out of $100$ .

$x = \frac{50 \cdot 2}{50 (32 c - 1)}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Cancel the common factor.

$x = \frac{50 \cdot 2}{50 (32 c - 1)}$

Step 4.3.1.2.2

Rewrite the expression.

$x = \frac{2}{32 c - 1}$