Algebra Examples

$3 x - x - 5 = 2 (x + 2) - 9$

Step 1

Subtract $x$ from $3 x$ .

$2 x - 5 = 2 (x + 2) - 9$

Step 2

Simplify $2 (x + 2) - 9$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$2 x - 5 = 2 x + 2 \cdot 2 - 9$

Step 2.1.2

Multiply $2$ by $2$ .

$2 x - 5 = 2 x + 4 - 9$

Step 2.2

Subtract $9$ from $4$ .

$2 x - 5 = 2 x - 5$

Step 3

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

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Step 3.1

Subtract $2 x$ from both sides of the equation.

$2 x - 5 - 2 x = - 5$

Step 3.2

Combine the opposite terms in $2 x - 5 - 2 x$ .

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Step 3.2.1

Subtract $2 x$ from $2 x$ .

$0 - 5 = - 5$

Step 3.2.2

Subtract $5$ from $0$ .

$- 5 = - 5$

Step 4

Since $- 5 = - 5$ , 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:

$(- \infty, \infty)$