Algebra Examples

$- 2 + \frac{2}{7} x = - y$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $7$ .

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

Step 3

Simplify the left side.

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Step 3.1

Simplify $7 (- 2 + \frac{2}{7} x)$ .

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Step 3.1.1

Combine $\frac{2}{7}$ and $x$ .

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

Step 3.1.2

Apply the distributive property.

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

Step 3.1.3

Multiply $7$ by $- 2$ .

$- 14 + 7 \frac{2 x}{7} = 7 (- y)$

Step 3.1.4

Cancel the common factor of $7$ .

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Step 3.1.4.1

Cancel the common factor.

$- 14 + 7 \frac{2 x}{7} = 7 (- y)$

Step 3.1.4.2

Rewrite the expression.

$- 14 + 2 x = 7 (- y)$

Step 4

Simplify the right side.

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Step 4.1

Multiply $- 1$ by $7$ .

$- 14 + 2 x = - 7 y$

Step 5

Move all terms containing variables to the left side of the equation.

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Step 5.1

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

$- 14 + 2 x + 7 y = 0$

Step 5.2

Move $- 14$ .

$2 x + 7 y - 14 = 0$

Step 6

Add $14$ to both sides of the equation.

$2 x + 7 y = 14$

Step 7