Basic Math Examples

$2 (3 a - 2) = 7 a$

Step 1

Simplify $2 (3 a - 2)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (3 a - 2) = 7 a$

Step 1.2

Simplify by adding zeros.

$2 (3 a - 2) = 7 a$

Step 1.3

Apply the distributive property.

$2 (3 a) + 2 \cdot - 2 = 7 a$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $3$ by $2$ .

$6 a + 2 \cdot - 2 = 7 a$

Step 1.4.2

Multiply $2$ by $- 2$ .

$6 a - 4 = 7 a$

Step 2

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

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Step 2.1

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

$6 a - 4 - 7 a = 0$

Step 2.2

Subtract $7 a$ from $6 a$ .

$- a - 4 = 0$

Step 3

Add $4$ to both sides of the equation.

$- a = 4$

Step 4

Divide each term in $- a = 4$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- a = 4$ by $- 1$ .

$\frac{- a}{- 1} = \frac{4}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{a}{1} = \frac{4}{- 1}$

Step 4.2.2

Divide $a$ by $1$ .

$a = \frac{4}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $4$ by $- 1$ .

$a = - 4$