Algebra Examples

$- 4 - 4 (- x - 1) = 4 (x - 1)$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 4 - 4 (- x) - 4 \cdot - 1 = 4 (x - 1)$

Step 1.1.2

Multiply $- 1$ by $- 4$ .

$- 4 + 4 x - 4 \cdot - 1 = 4 (x - 1)$

Step 1.1.3

Multiply $- 4$ by $- 1$ .

$- 4 + 4 x + 4 = 4 (x - 1)$

$- 4 + 4 x + 4 = 4 (x - 1)$

Step 1.2

Combine the opposite terms in $- 4 + 4 x + 4$ .

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Step 1.2.1

Add $- 4$ and $4$ .

$4 x + 0 = 4 (x - 1)$

Step 1.2.2

Add $4 x$ and $0$ .

$4 x = 4 (x - 1)$

$4 x = 4 (x - 1)$

$4 x = 4 (x - 1)$

Step 2

Simplify $4 (x - 1)$ .

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Step 2.1

Apply the distributive property.

$4 x = 4 x + 4 \cdot - 1$

Step 2.2

Multiply $4$ by $- 1$ .

$4 x = 4 x - 4$

$4 x = 4 x - 4$

Step 3

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

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Step 3.1

Subtract $4 x$ from both sides of the equation.

$4 x - 4 x = - 4$

Step 3.2

Subtract $4 x$ from $4 x$ .

$0 = - 4$

$0 = - 4$

Step 4

Since $0 \neq - 4$ , there are no solutions.

No solution

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