Algebra Examples

$2 (6 - 2 x) - 2 x = 2 (5 + x) - 4$

Step 1

Simplify $2 (6 - 2 x) - 2 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 \cdot 6 + 2 (- 2 x) - 2 x = 2 (5 + x) - 4$

Step 1.1.2

Multiply $2$ by $6$ .

$12 + 2 (- 2 x) - 2 x = 2 (5 + x) - 4$

Step 1.1.3

Multiply $- 2$ by $2$ .

$12 - 4 x - 2 x = 2 (5 + x) - 4$

$12 - 4 x - 2 x = 2 (5 + x) - 4$

Step 1.2

Subtract $2 x$ from $- 4 x$ .

$12 - 6 x = 2 (5 + x) - 4$

$12 - 6 x = 2 (5 + x) - 4$

Step 2

Simplify $2 (5 + x) - 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$12 - 6 x = 2 \cdot 5 + 2 x - 4$

Step 2.1.2

Multiply $2$ by $5$ .

$12 - 6 x = 10 + 2 x - 4$

$12 - 6 x = 10 + 2 x - 4$

Step 2.2

Subtract $4$ from $10$ .

$12 - 6 x = 2 x + 6$

$12 - 6 x = 2 x + 6$

Step 3

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

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Step 3.1

Subtract $2 x$ from both sides of the equation.

$12 - 6 x - 2 x = 6$

Step 3.2

Subtract $2 x$ from $- 6 x$ .

$12 - 8 x = 6$

$12 - 8 x = 6$

Step 4

Move all terms not containing $x$ to the right side of the equation.

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Step 4.1

Subtract $12$ from both sides of the equation.

$- 8 x = 6 - 12$

Step 4.2

Subtract $12$ from $6$ .

$- 8 x = - 6$

$- 8 x = - 6$

Step 5

Divide each term in $- 8 x = - 6$ by $- 8$ and simplify.

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Step 5.1

Divide each term in $- 8 x = - 6$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 6}{- 8}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 8$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 6}{- 8}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 6}{- 8}$

$x = \frac{- 6}{- 8}$

$x = \frac{- 6}{- 8}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $- 6$ and $- 8$ .

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Step 5.3.1.1

Factor $- 2$ out of $- 6$ .

$x = \frac{- 2 (3)}{- 8}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $- 2$ out of $- 8$ .

$x = \frac{- 2 \cdot 3}{- 2 \cdot 4}$

Step 5.3.1.2.2

Cancel the common factor.

$x = \frac{- 2 \cdot 3}{- 2 \cdot 4}$

Step 5.3.1.2.3

Rewrite the expression.

$x = \frac{3}{4}$

$x = \frac{3}{4}$

$x = \frac{3}{4}$

$x = \frac{3}{4}$

$x = \frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{4}$

Decimal Form:

$x = 0.75$

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