Algebra Examples

$3 x - 6 + 1 = - 2 x - 5 + 5 x$

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.

$- 2 x - 5 + 5 x = 3 x - 6 + 1$

Step 2

Add $- 2 x$ and $5 x$ .

$3 x - 5 = 3 x - 6 + 1$

Step 3

Add $- 6$ and $1$ .

$3 x - 5 = 3 x - 5$

Step 4

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

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Step 4.1

Subtract $3 x$ from both sides of the equation.

$3 x - 5 - 3 x = - 5$

Step 4.2

Combine the opposite terms in $3 x - 5 - 3 x$ .

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Step 4.2.1

Subtract $3 x$ from $3 x$ .

$0 - 5 = - 5$

Step 4.2.2

Subtract $5$ from $0$ .

$- 5 = - 5$

Step 5

Since $- 5 = - 5$ , the equation will always be true for any value of $x$ .

All real numbers

Step 6

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$