Finite Math Examples

$2500 x = 1800 x + 3000$

Step 1

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

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Step 1.1

Subtract $1800 x$ from both sides of the equation.

$2500 x - 1800 x = 3000$

Step 1.2

Subtract $1800 x$ from $2500 x$ .

$700 x = 3000$

Step 2

Divide each term in $700 x = 3000$ by $700$ and simplify.

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Step 2.1

Divide each term in $700 x = 3000$ by $700$ .

$\frac{700 x}{700} = \frac{3000}{700}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $700$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{700 x}{700} = \frac{3000}{700}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{3000}{700}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $3000$ and $700$ .

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Step 2.3.1.1

Factor $100$ out of $3000$ .

$x = \frac{100 (30)}{700}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $100$ out of $700$ .

$x = \frac{100 \cdot 30}{100 \cdot 7}$

Step 2.3.1.2.2

Cancel the common factor.

$x = \frac{100 \cdot 30}{100 \cdot 7}$

Step 2.3.1.2.3

Rewrite the expression.

$x = \frac{30}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{30}{7}$

Decimal Form:

$x = 4.\overline{285714}$

Mixed Number Form:

$x = 4 \frac{2}{7}$