Finite Math Examples

$- 0.65 \cdot 20 + 0.7 x = 0.4 (20 + x)$

Step 1

Subtract $0.4 (20 + x)$ from both sides of the equation.

$- 0.65 \cdot 20 + 0.7 x - 0.4 (20 + x) = 0$

Step 2

Simplify $- 0.65 \cdot 20 + 0.7 x - 0.4 (20 + x)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 0.65$ by $20$ .

$- 13 + 0.7 x - 0.4 (20 + x) = 0$

Step 2.1.2

Apply the distributive property.

$- 13 + 0.7 x - 0.4 \cdot 20 - 0.4 x = 0$

Step 2.1.3

Multiply $- 0.4$ by $20$ .

$- 13 + 0.7 x - 8 - 0.4 x = 0$

Step 2.2

Subtract $8$ from $- 13$ .

$0.7 x - 21 - 0.4 x = 0$

Step 2.3

Subtract $0.4 x$ from $0.7 x$ .

$0.3 x - 21 = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.