Algebra Examples

$- (y - x) + 6 (5 x + 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- y - - x + 6 (5 x + 7)$

Step 1.2

Multiply $- - x$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$- y + 1 x + 6 (5 x + 7)$

Step 1.2.2

Multiply $x$ by $1$ .

$- y + x + 6 (5 x + 7)$

$- y + x + 6 (5 x + 7)$

Step 1.3

Apply the distributive property.

$- y + x + 6 (5 x) + 6 \cdot 7$

Step 1.4

Multiply $5$ by $6$ .

$- y + x + 30 x + 6 \cdot 7$

Step 1.5

Multiply $6$ by $7$ .

$- y + x + 30 x + 42$

$- y + x + 30 x + 42$

Step 2

Simplify by adding terms.

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Step 2.1

Add $x$ and $30 x$ .

$- y + 31 x + 42$

Step 2.2

Reorder $- y$ and $31 x$ .

$31 x - y + 42$

$31 x - y + 42$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$