Algebra Examples

$f (x) = 7 (x - 1) + 8$

Step 1

Simplify $7 (x - 1) + 8$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$f (x) = 7 x + 7 \cdot - 1 + 8$

Step 1.1.2

Multiply $7$ by $- 1$ .

$f (x) = 7 x - 7 + 8$

$f (x) = 7 x - 7 + 8$

Step 1.2

Add $- 7$ and $8$ .

$f (x) = 7 x + 1$

$f (x) = 7 x + 1$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = 7 x + 1 - f (x)$

Step 3

Rewrite the equation as $7 x + 1 - f (x) = 0$ .

$7 x + 1 - f (x) = 0$

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