Algebra Examples

$5 x - 6 = 3 x - 6 + 2 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$3 x - 6 + 2 x = 5 x - 6$

Step 2

Add $3 x$ and $2 x$ .

$5 x - 6 = 5 x - 6$

Step 3

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

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Step 3.1

Subtract $5 x$ from both sides of the equation.

$5 x - 6 - 5 x = - 6$

Step 3.2

Combine the opposite terms in $5 x - 6 - 5 x$ .

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Step 3.2.1

Subtract $5 x$ from $5 x$ .

$0 - 6 = - 6$

Step 3.2.2

Subtract $6$ from $0$ .

$- 6 = - 6$

Step 4

Since $- 6 = - 6$ , 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:

$(- \infty, \infty)$