Algebra Examples

$3 x + 6 (2 x - y) - (32 - x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x + 6 (2 x) + 6 (- y) - (32 - x)$

Step 1.2

Multiply $2$ by $6$ .

$3 x + 12 x + 6 (- y) - (32 - x)$

Step 1.3

Multiply $- 1$ by $6$ .

$3 x + 12 x - 6 y - (32 - x)$

Step 1.4

Apply the distributive property.

$3 x + 12 x - 6 y - 1 \cdot 32 - - x$

Step 1.5

Multiply $- 1$ by $32$ .

$3 x + 12 x - 6 y - 32 - - x$

Step 1.6

Multiply $- - x$ .

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Step 1.6.1

Multiply $- 1$ by $- 1$ .

$3 x + 12 x - 6 y - 32 + 1 x$

Step 1.6.2

Multiply $x$ by $1$ .

$3 x + 12 x - 6 y - 32 + x$

$3 x + 12 x - 6 y - 32 + x$

$3 x + 12 x - 6 y - 32 + x$

Step 2

Simplify by adding terms.

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Step 2.1

Add $3 x$ and $12 x$ .

$15 x - 6 y - 32 + x$

Step 2.2

Add $15 x$ and $x$ .

$16 x - 6 y - 32$

$16 x - 6 y - 32$

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