Basic Math Examples

$2 a + 3 b + 2 = 2 a + 3 + 6 b - 1$

Step 1

Subtract $1$ from $3$ .

$2 a + 3 b + 2 = 2 a + 6 b + 2$

Step 2

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

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Step 2.1

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

$2 a + 3 b + 2 - 2 a = 6 b + 2$

Step 2.2

Combine the opposite terms in $2 a + 3 b + 2 - 2 a$ .

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Step 2.2.1

Subtract $2 a$ from $2 a$ .

$3 b + 2 + 0 = 6 b + 2$

Step 2.2.2

Add $3 b + 2$ and $0$ .

$3 b + 2 = 6 b + 2$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$3 b = 6 b + 2 - 2$

Step 3.2

Combine the opposite terms in $6 b + 2 - 2$ .

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Step 3.2.1

Subtract $2$ from $2$ .

$3 b = 6 b + 0$

Step 3.2.2

Add $6 b$ and $0$ .

$3 b = 6 b$

Step 4

Divide each term in $3 b = 6 b$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 b = 6 b$ by $3$ .

$\frac{3 b}{3} = \frac{6 b}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 b}{3} = \frac{6 b}{3}$

Step 4.2.1.2

Divide $b$ by $1$ .

$b = \frac{6 b}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $6$ and $3$ .

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Step 4.3.1.1

Factor $3$ out of $6 b$ .

$b = \frac{3 (2 b)}{3}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $3$ out of $3$ .

$b = \frac{3 (2 b)}{3 (1)}$

Step 4.3.1.2.2

Cancel the common factor.

$b = \frac{3 (2 b)}{3 \cdot 1}$

Step 4.3.1.2.3

Rewrite the expression.

$b = \frac{2 b}{1}$

Step 4.3.1.2.4

Divide $2 b$ by $1$ .

$b = 2 b$

Step 5

The variable $a$ got canceled.

All real numbers

Step 6

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$