Algebra Examples

$3 (2 - 4 (x + 1)) = - x$

Step 1

Simplify $3 (2 - 4 (x + 1))$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (2 - 4 (x + 1)) = - x$

Step 1.2

Simplify by adding zeros.

$3 (2 - 4 (x + 1)) = - x$

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

$3 (2 - 4 x - 4 \cdot 1) = - x$

Step 1.3.2

Multiply $- 4$ by $1$ .

$3 (2 - 4 x - 4) = - x$

$3 (2 - 4 x - 4) = - x$

Step 1.4

Simplify by multiplying through.

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Step 1.4.1

Subtract $4$ from $2$ .

$3 (- 4 x - 2) = - x$

Step 1.4.2

Apply the distributive property.

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

Step 1.4.3

Multiply.

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Step 1.4.3.1

Multiply $- 4$ by $3$ .

$- 12 x + 3 \cdot - 2 = - x$

Step 1.4.3.2

Multiply $3$ by $- 2$ .

$- 12 x - 6 = - x$

$- 12 x - 6 = - x$

$- 12 x - 6 = - x$

$- 12 x - 6 = - x$

Step 2

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

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Step 2.1

Add $x$ to both sides of the equation.

$- 12 x - 6 + x = 0$

Step 2.2

Add $- 12 x$ and $x$ .

$- 11 x - 6 = 0$

$- 11 x - 6 = 0$

Step 3

Add $6$ to both sides of the equation.

$- 11 x = 6$

Step 4

Divide each term in $- 11 x = 6$ by $- 11$ and simplify.

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Step 4.1

Divide each term in $- 11 x = 6$ by $- 11$ .

$\frac{- 11 x}{- 11} = \frac{6}{- 11}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 11$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 11 x}{- 11} = \frac{6}{- 11}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{6}{- 11}$

$x = \frac{6}{- 11}$

$x = \frac{6}{- 11}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$x = - \frac{6}{11}$

$x = - \frac{6}{11}$

$x = - \frac{6}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{6}{11}$

Decimal Form:

$x = - 0.\overline{54}$

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