Algebra Examples

$5 x + 14 - 4 x = 23 + x - 9$

Step 1

Subtract $4 x$ from $5 x$ .

$x + 14 = 23 + x - 9$

Step 2

Subtract $9$ from $23$ .

$x + 14 = x + 14$

Step 3

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

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Step 3.1

Subtract $x$ from both sides of the equation.

$x + 14 - x = 14$

Step 3.2

Combine the opposite terms in $x + 14 - x$ .

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Step 3.2.1

Subtract $x$ from $x$ .

$0 + 14 = 14$

Step 3.2.2

Add $0$ and $14$ .

$14 = 14$

Step 4

Since $14 = 14$ , 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:

$(- \infty, \infty)$