Algebra Examples

$2 (3 - 5 (6 + x)) = 15 x$

Step 1

Simplify $2 (3 - 5 (6 + x))$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (3 - 5 (6 + x)) = 15 x$

Step 1.2

Simplify by adding zeros.

$2 (3 - 5 (6 + x)) = 15 x$

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

$2 (3 - 5 \cdot 6 - 5 x) = 15 x$

Step 1.3.2

Multiply $- 5$ by $6$ .

$2 (3 - 30 - 5 x) = 15 x$

$2 (3 - 30 - 5 x) = 15 x$

Step 1.4

Simplify by multiplying through.

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Step 1.4.1

Subtract $30$ from $3$ .

$2 (- 27 - 5 x) = 15 x$

Step 1.4.2

Apply the distributive property.

$2 \cdot - 27 + 2 (- 5 x) = 15 x$

Step 1.4.3

Multiply.

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Step 1.4.3.1

Multiply $2$ by $- 27$ .

$- 54 + 2 (- 5 x) = 15 x$

Step 1.4.3.2

Multiply $- 5$ by $2$ .

$- 54 - 10 x = 15 x$

$- 54 - 10 x = 15 x$

$- 54 - 10 x = 15 x$

$- 54 - 10 x = 15 x$

Step 2

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

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Step 2.1

Subtract $15 x$ from both sides of the equation.

$- 54 - 10 x - 15 x = 0$

Step 2.2

Subtract $15 x$ from $- 10 x$ .

$- 54 - 25 x = 0$

$- 54 - 25 x = 0$

Step 3

Add $54$ to both sides of the equation.

$- 25 x = 54$

Step 4

Divide each term in $- 25 x = 54$ by $- 25$ and simplify.

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Step 4.1

Divide each term in $- 25 x = 54$ by $- 25$ .

$\frac{- 25 x}{- 25} = \frac{54}{- 25}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 25$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 25 x}{- 25} = \frac{54}{- 25}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{54}{- 25}$

$x = \frac{54}{- 25}$

$x = \frac{54}{- 25}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$x = - \frac{54}{25}$

$x = - \frac{54}{25}$

$x = - \frac{54}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{54}{25}$

Decimal Form:

$x = - 2.16$

Mixed Number Form:

$x = - 2 \frac{4}{25}$

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