Algebra Examples

$- (x - 9) - (8 - x) = x$

Step 1

Simplify $- (x - 9) - (8 - x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- x - - 9 - (8 - x) = x$

Step 1.1.2

Multiply $- 1$ by $- 9$ .

$- x + 9 - (8 - x) = x$

Step 1.1.3

Apply the distributive property.

$- x + 9 - 1 \cdot 8 - - x = x$

Step 1.1.4

Multiply $- 1$ by $8$ .

$- x + 9 - 8 - - x = x$

Step 1.1.5

Multiply $- - x$ .

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Step 1.1.5.1

Multiply $- 1$ by $- 1$ .

$- x + 9 - 8 + 1 x = x$

Step 1.1.5.2

Multiply $x$ by $1$ .

$- x + 9 - 8 + x = x$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $- x + 9 - 8 + x$ .

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Step 1.2.1.1

Add $- x$ and $x$ .

$0 + 9 - 8 = x$

Step 1.2.1.2

Add $0$ and $9$ .

$9 - 8 = x$

Step 1.2.2

Subtract $8$ from $9$ .

$1 = x$

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.

$x = 1$