Basic Math Examples

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

Step 1

Since $b$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

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

Step 2

Add $- 3 b$ and $2 b$ .

$2 - b = - 1 + 2 b$

Step 3

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

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Step 3.1

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

$2 - b - 2 b = - 1$

Step 3.2

Subtract $2 b$ from $- b$ .

$2 - 3 b = - 1$

Step 4

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

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Step 4.1

Subtract $2$ from both sides of the equation.

$- 3 b = - 1 - 2$

Step 4.2

Subtract $2$ from $- 1$ .

$- 3 b = - 3$

Step 5

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

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Step 5.1

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

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

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 3$ .

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Step 5.2.1.1

Cancel the common factor.

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

Step 5.2.1.2

Divide $b$ by $1$ .

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

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 3$ by $- 3$ .

$b = 1$