Pre-Algebra Examples

$7 x - 5 y = 105$

Step 1

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

$7 x = 105 + 5 y$

Step 2

Divide each term in $7 x = 105 + 5 y$ by $7$ and simplify.

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Step 2.1

Divide each term in $7 x = 105 + 5 y$ by $7$ .

$\frac{7 x}{7} = \frac{105}{7} + \frac{5 y}{7}$

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.

$\frac{7 x}{7} = \frac{105}{7} + \frac{5 y}{7}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{105}{7} + \frac{5 y}{7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $105$ by $7$ .

$x = 15 + \frac{5 y}{7}$