Algebra Examples

$- 2 (11 - 12 x) = - 4 (1 - 6 x)$

Step 1

Simplify $- 2 (11 - 12 x)$ .

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Step 1.1

Rewrite.

$0 + 0 - 2 (11 - 12 x) = - 4 (1 - 6 x)$

Step 1.2

Simplify by adding zeros.

$- 2 (11 - 12 x) = - 4 (1 - 6 x)$

Step 1.3

Apply the distributive property.

$- 2 \cdot 11 - 2 (- 12 x) = - 4 (1 - 6 x)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 2$ by $11$ .

$- 22 - 2 (- 12 x) = - 4 (1 - 6 x)$

Step 1.4.2

Multiply $- 12$ by $- 2$ .

$- 22 + 24 x = - 4 (1 - 6 x)$

Step 2

Simplify $- 4 (1 - 6 x)$ .

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Step 2.1

Apply the distributive property.

$- 22 + 24 x = - 4 \cdot 1 - 4 (- 6 x)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $- 4$ by $1$ .

$- 22 + 24 x = - 4 - 4 (- 6 x)$

Step 2.2.2

Multiply $- 6$ by $- 4$ .

$- 22 + 24 x = - 4 + 24 x$

Step 3

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

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Step 3.1

Subtract $24 x$ from both sides of the equation.

$- 22 + 24 x - 24 x = - 4$

Step 3.2

Combine the opposite terms in $- 22 + 24 x - 24 x$ .

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Step 3.2.1

Subtract $24 x$ from $24 x$ .

$- 22 + 0 = - 4$

Step 3.2.2

Add $- 22$ and $0$ .

$- 22 = - 4$

Step 4

Since $- 22 \neq - 4$ , there are no solutions.

No solution