Algebra Examples

$12 x - (7 y - 8 x) + 4 x - 11 y$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$12 x - (7 y) - (- 8 x) + 4 x - 11 y$

Step 1.2

Multiply $7$ by $- 1$ .

$12 x - 7 y - (- 8 x) + 4 x - 11 y$

Step 1.3

Multiply $- 8$ by $- 1$ .

$12 x - 7 y + 8 x + 4 x - 11 y$

$12 x - 7 y + 8 x + 4 x - 11 y$

Step 2

Simplify by adding terms.

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Step 2.1

Add $12 x$ and $8 x$ .

$20 x - 7 y + 4 x - 11 y$

Step 2.2

Add $20 x$ and $4 x$ .

$24 x - 7 y - 11 y$

Step 2.3

Subtract $11 y$ from $- 7 y$ .

$24 x - 18 y$

$24 x - 18 y$

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