Solve for x 2(3-5(6+x))=15x

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Algebra

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

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

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Start simplifying.

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

Simplify by adding zeros.

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

Simplify each term.

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Apply the distributive property.

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

Multiply $- 5$ by $6$ .

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

Simplify by multiplying through.

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Subtract $30$ from $3$ .

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

Apply the distributive property.

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

Multiply.

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Multiply $2$ by $- 27$ .

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

Multiply $- 5$ by $2$ .

$- 54 - 10 x = 15 x$

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

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

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

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

$- 54 - 25 x = 0$

Add $54$ to both sides of the equation.

$- 25 x = 54$

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

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

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

Simplify the left side.

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Cancel the common factor of $- 25$ .

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Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

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Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 2.16$

Mixed Number Form:

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

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