Finite Math Examples

$22 - 3 x + 7 x = 4 (x + 5)$

Step 1

Subtract $4 (x + 5)$ from both sides of the equation.

$22 - 3 x + 7 x - 4 (x + 5) = 0$

Step 2

Simplify $22 - 3 x + 7 x - 4 (x + 5)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$22 - 3 x + 7 x - 4 x - 4 \cdot 5 = 0$

Step 2.1.2

Multiply $- 4$ by $5$ .

$22 - 3 x + 7 x - 4 x - 20 = 0$

Step 2.2

Subtract $20$ from $22$ .

$- 3 x + 7 x - 4 x + 2 = 0$

Step 2.3

Add $- 3 x$ and $7 x$ .

$4 x - 4 x + 2 = 0$

Step 2.4

Subtract $4 x$ from $4 x$ .

$0 + 2 = 0$

Step 2.5

Add $0$ and $2$ .

$2 = 0$

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.