Precalculus Examples

$5 x + 10 - 8 x = 17 - 17 x + 14 x - 7$

Step 1

Subtract $8 x$ from $5 x$ .

$- 3 x + 10 = 17 - 17 x + 14 x - 7$

Step 2

Simplify $17 - 17 x + 14 x - 7$ .

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Step 2.1

Subtract $7$ from $17$ .

$- 3 x + 10 = - 17 x + 14 x + 10$

Step 2.2

Add $- 17 x$ and $14 x$ .

$- 3 x + 10 = - 3 x + 10$

Step 3

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

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Step 3.1

Add $3 x$ to both sides of the equation.

$- 3 x + 10 + 3 x = 10$

Step 3.2

Combine the opposite terms in $- 3 x + 10 + 3 x$ .

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Step 3.2.1

Add $- 3 x$ and $3 x$ .

$0 + 10 = 10$

Step 3.2.2

Add $0$ and $10$ .

$10 = 10$

Step 4

Since $10 = 10$ , 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:

$(- \infty, \infty)$