Algebra Examples

$8 (v - 1) - 4 = 4 (2 v - 3)$

Step 1

Subtract $4 (2 v - 3)$ from both sides of the equation.

$8 (v - 1) - 4 - 4 (2 v - 3) = 0$

Step 2

Simplify $8 (v - 1) - 4 - 4 (2 v - 3)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$8 v + 8 \cdot - 1 - 4 - 4 (2 v - 3) = 0$

Step 2.1.2

Multiply $8$ by $- 1$ .

$8 v - 8 - 4 - 4 (2 v - 3) = 0$

Step 2.1.3

Apply the distributive property.

$8 v - 8 - 4 - 4 (2 v) - 4 \cdot - 3 = 0$

Step 2.1.4

Multiply $2$ by $- 4$ .

$8 v - 8 - 4 - 8 v - 4 \cdot - 3 = 0$

Step 2.1.5

Multiply $- 4$ by $- 3$ .

$8 v - 8 - 4 - 8 v + 12 = 0$

Step 2.2

Combine the opposite terms in $8 v - 8 - 4 - 8 v + 12$ .

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Step 2.2.1

Subtract $8 v$ from $8 v$ .

$0 - 8 - 4 + 12 = 0$

Step 2.2.2

Subtract $8$ from $0$ .

$- 8 - 4 + 12 = 0$

Step 2.3

Subtract $4$ from $- 8$ .

$- 12 + 12 = 0$

Step 2.4

Add $- 12$ and $12$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true