Basic Math Examples

$a \cdot 8 + s \cdot 5 = 1600$

Step 1

Simplify each term.

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Step 1.1

Move $8$ to the left of $a$ .

$8 \cdot a + s \cdot 5 = 1600$

Step 1.2

Move $5$ to the left of $s$ .

$8 a + 5 s = 1600$

Step 2

Subtract $5 s$ from both sides of the equation.

$8 a = 1600 - 5 s$

Step 3

Divide each term in $8 a = 1600 - 5 s$ by $8$ and simplify.

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Step 3.1

Divide each term in $8 a = 1600 - 5 s$ by $8$ .

$\frac{8 a}{8} = \frac{1600}{8} + \frac{- 5 s}{8}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $8$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{8 a}{8} = \frac{1600}{8} + \frac{- 5 s}{8}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{1600}{8} + \frac{- 5 s}{8}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide $1600$ by $8$ .

$a = 200 + \frac{- 5 s}{8}$

Step 3.3.1.2

Move the negative in front of the fraction.

$a = 200 - \frac{5 s}{8}$