Precalculus Examples

$\frac{1}{5} (5 x) + ((3 y) + (- 3 y)) - (- x)$

Step 1

Simplify by adding terms.

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Step 1.1

Remove parentheses.

$\frac{1}{5} \cdot (5 x) + 3 y - 3 y - (- x)$

Step 1.2

Combine the opposite terms in $\frac{1}{5} \cdot (5 x) + 3 y - 3 y - (- x)$ .

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Step 1.2.1

Subtract $3 y$ from $3 y$ .

$\frac{1}{5} \cdot (5 x) + 0 - (- x)$

Step 1.2.2

Add $\frac{1}{5} \cdot (5 x)$ and $0$ .

$\frac{1}{5} \cdot (5 x) - (- x)$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $5$ .

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Step 2.1.1

Factor $5$ out of $5 x$ .

$\frac{1}{5} \cdot (5 (x)) - (- x)$

Step 2.1.2

Cancel the common factor.

$\frac{1}{5} \cdot (5 x) - (- x)$

Step 2.1.3

Rewrite the expression.

$x - (- x)$

Step 2.2

Multiply $- (- x)$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$x + 1 x$

Step 2.2.2

Multiply $x$ by $1$ .

$x + x$

Step 3

Add $x$ and $x$ .

$2 x$