Finite Math Examples

$(- x) = 5 - 7 x$

Step 1

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

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Step 1.1

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

$- x + 7 x = 5$

Step 1.2

Add $- x$ and $7 x$ .

$6 x = 5$

Step 2

Divide each term in $6 x = 5$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x = 5$ by $6$ .

$\frac{6 x}{6} = \frac{5}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{5}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{5}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{6}$

Decimal Form:

$x = 0.8\overline{3}$