Finite Math Examples

$4 x - 2 (5 + 2 x) = - 10$

Step 1

Simplify $4 x - 2 (5 + 2 x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 x - 2 \cdot 5 - 2 (2 x) = - 10$

Step 1.1.2

Multiply $- 2$ by $5$ .

$4 x - 10 - 2 (2 x) = - 10$

Step 1.1.3

Multiply $2$ by $- 2$ .

$4 x - 10 - 4 x = - 10$

Step 1.2

Combine the opposite terms in $4 x - 10 - 4 x$ .

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Step 1.2.1

Subtract $4 x$ from $4 x$ .

$0 - 10 = - 10$

Step 1.2.2

Subtract $10$ from $0$ .

$- 10 = - 10$

Step 2

Since $- 10 = - 10$ , the equation will always be true for any value of $x$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$