Algebra Examples

$y + 3 = 7 (x - 2)$

Step 1

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

Step 2

Simplify the right side.

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Step 2.1

Simplify $7 (x - 2)$ .

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Step 2.1.1

Apply the distributive property.

$y + 3 = 7 x + 7 \cdot - 2$

Step 2.1.2

Multiply $7$ by $- 2$ .

$y + 3 = 7 x - 14$

Step 3

Rewrite the equation.

$7 x - 14 = y + 3$

Step 4

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

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Step 4.1

Subtract $y$ from both sides of the equation.

$7 x - 14 - y = 3$

Step 4.2

Move $- 14$ .

$7 x - y - 14 = 3$

Step 5

Move all terms not containing a variable to the right side of the equation.

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Step 5.1

Add $14$ to both sides of the equation.

$7 x - y = 3 + 14$

Step 5.2

Add $3$ and $14$ .

$7 x - y = 17$

Step 6