Finite Math Examples

$3 - 7 x = \frac{6 - 14 x}{2}$

Step 1

Cancel the common factor of $6 - 14 x$ and $2$ .

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Step 1.1

Factor $2$ out of $6$ .

$3 - 7 x = \frac{2 \cdot 3 - 14 x}{2}$

Step 1.2

Factor $2$ out of $- 14 x$ .

$3 - 7 x = \frac{2 \cdot 3 + 2 (- 7 x)}{2}$

Step 1.3

Factor $2$ out of $2 (3) + 2 (- 7 x)$ .

$3 - 7 x = \frac{2 (3 - 7 x)}{2}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $2$ .

$3 - 7 x = \frac{2 (3 - 7 x)}{2 (1)}$

Step 1.4.2

Cancel the common factor.

$3 - 7 x = \frac{2 (3 - 7 x)}{2 \cdot 1}$

Step 1.4.3

Rewrite the expression.

$3 - 7 x = \frac{3 - 7 x}{1}$

Step 1.4.4

Divide $3 - 7 x$ by $1$ .

$3 - 7 x = 3 - 7 x$

Step 2

Solve for $x$ .

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Step 2.1

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

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Step 2.1.1

Add $7 x$ to both sides of the equation.

$3 - 7 x + 7 x = 3$

Step 2.1.2

Combine the opposite terms in $3 - 7 x + 7 x$ .

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Step 2.1.2.1

Add $- 7 x$ and $7 x$ .

$3 + 0 = 3$

Step 2.1.2.2

Add $3$ and $0$ .

$3 = 3$

Step 2.2

Since $3 = 3$ , the equation will always be true for any value of $x$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$