Algebra Examples

$- (x - 10) = 7$

Step 1

Simplify $- (x - 10)$ .

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Step 1.1

Apply the distributive property.

$- x - - 10 = 7$

Step 1.2

Multiply $- 1$ by $- 10$ .

$- x + 10 = 7$

Step 2

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

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Step 2.1

Subtract $10$ from both sides of the equation.

$- x = 7 - 10$

Step 2.2

Subtract $10$ from $7$ .

$- x = - 3$

Step 3

Divide each term in $- x = - 3$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = - 3$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 3}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 3}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{- 3}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 3$ by $- 1$ .

$x = 3$