Algebra Examples

$6 (2 x + 8) = 4 (3 x - 6)$

Step 1

Subtract $4 (3 x - 6)$ from both sides of the equation.

$6 (2 x + 8) - 4 (3 x - 6) = 0$

Step 2

Simplify $6 (2 x + 8) - 4 (3 x - 6)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$6 (2 x) + 6 \cdot 8 - 4 (3 x - 6) = 0$

Step 2.1.2

Multiply $2$ by $6$ .

$12 x + 6 \cdot 8 - 4 (3 x - 6) = 0$

Step 2.1.3

Multiply $6$ by $8$ .

$12 x + 48 - 4 (3 x - 6) = 0$

Step 2.1.4

Apply the distributive property.

$12 x + 48 - 4 (3 x) - 4 \cdot - 6 = 0$

Step 2.1.5

Multiply $3$ by $- 4$ .

$12 x + 48 - 12 x - 4 \cdot - 6 = 0$

Step 2.1.6

Multiply $- 4$ by $- 6$ .

$12 x + 48 - 12 x + 24 = 0$

Step 2.2

Combine the opposite terms in $12 x + 48 - 12 x + 24$ .

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Step 2.2.1

Subtract $12 x$ from $12 x$ .

$0 + 48 + 24 = 0$

Step 2.2.2

Add $0$ and $48$ .

$48 + 24 = 0$

Step 2.3

Add $48$ and $24$ .

$72 = 0$

Step 3

Since $72 \neq 0$ , there are no solutions.

No solution