Finite Math Examples

$8 x + 14 (x + 1) = 22 (x + 1) - 8$

Step 1

Simplify $8 x + 14 (x + 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$8 x + 14 x + 14 \cdot 1 = 22 (x + 1) - 8$

Step 1.1.2

Multiply $14$ by $1$ .

$8 x + 14 x + 14 = 22 (x + 1) - 8$

Step 1.2

Add $8 x$ and $14 x$ .

$22 x + 14 = 22 (x + 1) - 8$

Step 2

Simplify $22 (x + 1) - 8$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$22 x + 14 = 22 x + 22 \cdot 1 - 8$

Step 2.1.2

Multiply $22$ by $1$ .

$22 x + 14 = 22 x + 22 - 8$

Step 2.2

Subtract $8$ from $22$ .

$22 x + 14 = 22 x + 14$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Subtract $22 x$ from both sides of the equation.

$22 x + 14 - 22 x = 14$

Step 3.2

Combine the opposite terms in $22 x + 14 - 22 x$ .

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Step 3.2.1

Subtract $22 x$ from $22 x$ .

$0 + 14 = 14$

Step 3.2.2

Add $0$ and $14$ .

$14 = 14$

Step 4

Since $14 = 14$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$