Basic Math Examples

$2 + 7 a = 35 + 2 a - 6 a$

Step 1

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

$35 + 2 a - 6 a = 2 + 7 a$

Step 2

Subtract $6 a$ from $2 a$ .

$35 - 4 a = 2 + 7 a$

Step 3

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

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Step 3.1

Subtract $7 a$ from both sides of the equation.

$35 - 4 a - 7 a = 2$

Step 3.2

Subtract $7 a$ from $- 4 a$ .

$35 - 11 a = 2$

Step 4

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

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Step 4.1

Subtract $35$ from both sides of the equation.

$- 11 a = 2 - 35$

Step 4.2

Subtract $35$ from $2$ .

$- 11 a = - 33$

Step 5

Divide each term in $- 11 a = - 33$ by $- 11$ and simplify.

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Step 5.1

Divide each term in $- 11 a = - 33$ by $- 11$ .

$\frac{- 11 a}{- 11} = \frac{- 33}{- 11}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 11$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 11 a}{- 11} = \frac{- 33}{- 11}$

Step 5.2.1.2

Divide $a$ by $1$ .

$a = \frac{- 33}{- 11}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 33$ by $- 11$ .

$a = 3$