Finite Math Examples

$2 x + y - z = - 2 + y - z$

Step 1

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

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Step 1.1

Subtract $y$ from both sides of the equation.

$2 x + y - z - y = - 2 - z$

Step 1.2

Combine the opposite terms in $2 x + y - z - y$ .

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Step 1.2.1

Subtract $y$ from $y$ .

$2 x - z + 0 = - 2 - z$

Step 1.2.2

Add $2 x - z$ and $0$ .

$2 x - z = - 2 - z$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $z$ to both sides of the equation.

$2 x = - 2 - z + z$

Step 2.2

Combine the opposite terms in $- 2 - z + z$ .

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Step 2.2.1

Add $- z$ and $z$ .

$2 x = - 2 + 0$

Step 2.2.2

Add $- 2$ and $0$ .

$2 x = - 2$

Step 3

Divide each term in $2 x = - 2$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = - 2$ by $2$ .

$\frac{2 x}{2} = \frac{- 2}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 2}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 2}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 2$ by $2$ .

$x = - 1$

Step 4

The variable $y$ got canceled.

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$