Finite Math Examples

$7 x - y - 5 z = 5$

Step 1

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

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Step 1.1

Add $y$ to both sides of the equation.

$7 x - 5 z = 5 + y$

Step 1.2

Add $5 z$ to both sides of the equation.

$7 x = 5 + y + 5 z$

Step 2

Divide each term in $7 x = 5 + y + 5 z$ by $7$ and simplify.

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Step 2.1

Divide each term in $7 x = 5 + y + 5 z$ by $7$ .

$\frac{7 x}{7} = \frac{5}{7} + \frac{y}{7} + \frac{5 z}{7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{5}{7} + \frac{y}{7} + \frac{5 z}{7}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{5}{7} + \frac{y}{7} + \frac{5 z}{7}$