Basic Math Examples

$20000 a + 10000 b = 1200000$

Step 1

Subtract $10000 b$ from both sides of the equation.

$20000 a = 1200000 - 10000 b$

Step 2

Divide each term in $20000 a = 1200000 - 10000 b$ by $20000$ and simplify.

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Step 2.1

Divide each term in $20000 a = 1200000 - 10000 b$ by $20000$ .

$\frac{20000 a}{20000} = \frac{1200000}{20000} + \frac{- 10000 b}{20000}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $20000$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{20000 a}{20000} = \frac{1200000}{20000} + \frac{- 10000 b}{20000}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{1200000}{20000} + \frac{- 10000 b}{20000}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $1200000$ by $20000$ .

$a = 60 + \frac{- 10000 b}{20000}$

Step 2.3.1.2

Cancel the common factor of $- 10000$ and $20000$ .

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Step 2.3.1.2.1

Factor $10000$ out of $- 10000 b$ .

$a = 60 + \frac{10000 (- b)}{20000}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $10000$ out of $20000$ .

$a = 60 + \frac{10000 (- b)}{10000 (2)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$a = 60 + \frac{10000 (- b)}{10000 \cdot 2}$

Step 2.3.1.2.2.3

Rewrite the expression.

$a = 60 + \frac{- b}{2}$

Step 2.3.1.3

Move the negative in front of the fraction.

$a = 60 - \frac{b}{2}$