Algebra Examples

$2 (a - 4) = 4 a - (2 a + 4)$

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.

$4 a - (2 a + 4) = 2 (a - 4)$

Step 2

Simplify

$4 a - (2 a + 4)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 a - (2 a) - 1 \cdot 4 = 2 (a - 4)$

Step 2.1.2

Multiply

$2$ by

$- 1$ .

$4 a - 2 a - 1 \cdot 4 = 2 (a - 4)$

Step 2.1.3

Multiply

$- 1$ by

$4$ .

$4 a - 2 a - 4 = 2 (a - 4)$

Step 2.2

Subtract

$2 a$ from

$4 a$ .

$2 a - 4 = 2 (a - 4)$

Step 3

Simplify

$2 (a - 4)$ .

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Step 3.1

Apply the distributive property.

$2 a - 4 = 2 a + 2 \cdot - 4$

Step 3.2

Multiply

$2$ by

$- 4$ .

$2 a - 4 = 2 a - 8$

Step 4

Move all terms containing

$a$ to the left side of the equation.

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Step 4.1

Subtract

$2 a$ from both sides of the equation.

$2 a - 4 - 2 a = - 8$

Step 4.2

Combine the opposite terms in

$2 a - 4 - 2 a$ .

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Step 4.2.1

Subtract

$2 a$ from

$2 a$ .

$0 - 4 = - 8$

Step 4.2.2

Subtract

$4$ from

$0$ .

$- 4 = - 8$

Step 5

Since

$- 4 \neq - 8$ , there are no solutions.

No solution