Precalculus Examples

$20 - \frac{6}{5} x = - \frac{6}{5} x + 20$

Step 1

Simplify each term.

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Step 1.1

Combine $x$ and $\frac{6}{5}$ .

$20 - \frac{x \cdot 6}{5} = - \frac{6}{5} x + 20$

Step 1.2

Move $6$ to the left of $x$ .

$20 - \frac{6 x}{5} = - \frac{6}{5} x + 20$

Step 2

Simplify each term.

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Step 2.1

Combine $x$ and $\frac{6}{5}$ .

$20 - \frac{6 x}{5} = - \frac{x \cdot 6}{5} + 20$

Step 2.2

Move $6$ to the left of $x$ .

$20 - \frac{6 x}{5} = - \frac{6 x}{5} + 20$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Add $\frac{6 x}{5}$ to both sides of the equation.

$20 - \frac{6 x}{5} + \frac{6 x}{5} = 20$

Step 3.2

Combine the opposite terms in $20 - \frac{6 x}{5} + \frac{6 x}{5}$ .

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Step 3.2.1

Add $- \frac{6 x}{5}$ and $\frac{6 x}{5}$ .

$20 + 0 = 20$

Step 3.2.2

Add $20$ and $0$ .

$20 = 20$

Step 4

Since $20 = 20$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$