Algebra Examples

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

Step 1

Simplify $6 (x - 6)$ .

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $6$ by $- 6$ .

$6 x - 36 = 2 (6 + 3 x)$

$6 x - 36 = 2 (6 + 3 x)$

Step 2

Simplify $2 (6 + 3 x)$ .

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Step 2.1

Apply the distributive property.

$6 x - 36 = 2 \cdot 6 + 2 (3 x)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $6$ .

$6 x - 36 = 12 + 2 (3 x)$

Step 2.2.2

Multiply $3$ by $2$ .

$6 x - 36 = 12 + 6 x$

$6 x - 36 = 12 + 6 x$

$6 x - 36 = 12 + 6 x$

Step 3

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

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Step 3.1

Subtract $6 x$ from both sides of the equation.

$6 x - 36 - 6 x = 12$

Step 3.2

Combine the opposite terms in $6 x - 36 - 6 x$ .

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Step 3.2.1

Subtract $6 x$ from $6 x$ .

$0 - 36 = 12$

Step 3.2.2

Subtract $36$ from $0$ .

$- 36 = 12$

$- 36 = 12$

$- 36 = 12$

Step 4

Since $- 36 \neq 12$ , there are no solutions.

No solution

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$