Basic Math Examples

$(a + b) + c = a + (b + c)$

Step 1

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

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Step 1.1

Subtract $a$ from both sides of the equation.

$a + b + c - a = b + c$

Step 1.2

Combine the opposite terms in $a + b + c - a$ .

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Step 1.2.1

Subtract $a$ from $a$ .

$b + c + 0 = b + c$

Step 1.2.2

Add $b + c$ and $0$ .

$b + c = b + c$

Step 2

Move all terms not containing $b$ to the right side of the equation.

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Step 2.1

Subtract $c$ from both sides of the equation.

$b = b + c - c$

Step 2.2

Combine the opposite terms in $b + c - c$ .

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Step 2.2.1

Subtract $c$ from $c$ .

$b = b + 0$

Step 2.2.2

Add $b$ and $0$ .

$b = b$

Step 3

The variable $a$ got canceled.

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$