Algebra Examples

$2 - 3 (2 x - 1) = - 6 x + 5$

Step 1

Simplify $2 - 3 (2 x - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 - 3 (2 x) - 3 \cdot - 1 = - 6 x + 5$

Step 1.1.2

Multiply $2$ by $- 3$ .

$2 - 6 x - 3 \cdot - 1 = - 6 x + 5$

Step 1.1.3

Multiply $- 3$ by $- 1$ .

$2 - 6 x + 3 = - 6 x + 5$

Step 1.2

Add $2$ and $3$ .

$- 6 x + 5 = - 6 x + 5$

Step 2

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

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Step 2.1

Add $6 x$ to both sides of the equation.

$- 6 x + 5 + 6 x = 5$

Step 2.2

Combine the opposite terms in $- 6 x + 5 + 6 x$ .

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Step 2.2.1

Add $- 6 x$ and $6 x$ .

$0 + 5 = 5$

Step 2.2.2

Add $0$ and $5$ .

$5 = 5$

Step 3

Since $5 = 5$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$