Algebra Examples

$(x - 9) - (x + 3) = 6 x$

Step 1

Simplify $x - 9 - (x + 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$x - 9 - x - 1 \cdot 3 = 6 x$

Step 1.1.2

Multiply $- 1$ by $3$ .

$x - 9 - x - 3 = 6 x$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $x - 9 - x - 3$ .

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Step 1.2.1.1

Subtract $x$ from $x$ .

$0 - 9 - 3 = 6 x$

Step 1.2.1.2

Subtract $9$ from $0$ .

$- 9 - 3 = 6 x$

Step 1.2.2

Subtract $3$ from $- 9$ .

$- 12 = 6 x$

Step 2

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 x = - 12$

Step 3

Divide each term in $6 x = - 12$ by $6$ and simplify.

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Step 3.1

Divide each term in $6 x = - 12$ by $6$ .

$\frac{6 x}{6} = \frac{- 12}{6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 12}{6}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 12}{6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 12$ by $6$ .

$x = - 2$