Pre-Algebra Examples

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

Step 1

Simplify $6 (2 x + 8)$ .

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $6$ .

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

Step 1.4.2

Multiply $6$ by $8$ .

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

Step 2

Simplify $4 (3 x - 6)$ .

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply.

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Step 2.2.1

Multiply $3$ by $4$ .

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

Step 2.2.2

Multiply $4$ by $- 6$ .

$12 x + 48 = 12 x - 24$

Step 3

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

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Step 3.1

Subtract $12 x$ from both sides of the equation.

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

Step 3.2

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

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Step 3.2.1

Subtract $12 x$ from $12 x$ .

$0 + 48 = - 24$

Step 3.2.2

Add $0$ and $48$ .

$48 = - 24$

Step 4

Since $48 \neq - 24$ , there are no solutions.

No solution