Pre-Algebra Examples

$- 10 x + 9 = - 9 (x - 1)$

Step 1

Simplify $- 9 (x - 1)$ .

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Step 1.1

Rewrite.

$- 10 x + 9 = 0 + 0 - 9 (x - 1)$

Step 1.2

Simplify by adding zeros.

$- 10 x + 9 = - 9 (x - 1)$

Step 1.3

Apply the distributive property.

$- 10 x + 9 = - 9 x - 9 \cdot - 1$

Step 1.4

Multiply $- 9$ by $- 1$ .

$- 10 x + 9 = - 9 x + 9$

Step 2

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

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Step 2.1

Add $9 x$ to both sides of the equation.

$- 10 x + 9 + 9 x = 9$

Step 2.2

Add $- 10 x$ and $9 x$ .

$- x + 9 = 9$

Step 3

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

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Step 3.1

Subtract $9$ from both sides of the equation.

$- x = 9 - 9$

Step 3.2

Subtract $9$ from $9$ .

$- x = 0$

Step 4

Divide each term in $- x = 0$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- x = 0$ by $- 1$ .

$\frac{- x}{- 1} = \frac{0}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{0}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{0}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $- 1$ .

$x = 0$