Algebra Examples

$5 (1 - 6 x) + 1 = 6 x$

Step 1

Simplify $5 (1 - 6 x) + 1$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 \cdot 1 + 5 (- 6 x) + 1 = 6 x$

Step 1.1.2

Multiply $5$ by $1$ .

$5 + 5 (- 6 x) + 1 = 6 x$

Step 1.1.3

Multiply $- 6$ by $5$ .

$5 - 30 x + 1 = 6 x$

$5 - 30 x + 1 = 6 x$

Step 1.2

Add $5$ and $1$ .

$- 30 x + 6 = 6 x$

$- 30 x + 6 = 6 x$

Step 2

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

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Step 2.1

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

$- 30 x + 6 - 6 x = 0$

Step 2.2

Subtract $6 x$ from $- 30 x$ .

$- 36 x + 6 = 0$

$- 36 x + 6 = 0$

Step 3

Subtract $6$ from both sides of the equation.

$- 36 x = - 6$

Step 4

Divide each term in $- 36 x = - 6$ by $- 36$ and simplify.

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Step 4.1

Divide each term in $- 36 x = - 6$ by $- 36$ .

$\frac{- 36 x}{- 36} = \frac{- 6}{- 36}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 36$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 36 x}{- 36} = \frac{- 6}{- 36}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 6}{- 36}$

$x = \frac{- 6}{- 36}$

$x = \frac{- 6}{- 36}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $- 6$ and $- 36$ .

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Step 4.3.1.1

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

$x = \frac{- 6 (1)}{- 36}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $- 6$ out of $- 36$ .

$x = \frac{- 6 \cdot 1}{- 6 \cdot 6}$

Step 4.3.1.2.2

Cancel the common factor.

$x = \frac{- 6 \cdot 1}{- 6 \cdot 6}$

Step 4.3.1.2.3

Rewrite the expression.

$x = \frac{1}{6}$

$x = \frac{1}{6}$

$x = \frac{1}{6}$

$x = \frac{1}{6}$

$x = \frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{6}$

Decimal Form:

$x = 0.1\overline{6}$

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