Algebra Examples

$y - 8 = 3 (x + 1)$

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 $3 (x + 1)$ .

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Step 2.1.1

Apply the distributive property.

$y - 8 = 3 x + 3 \cdot 1$

Step 2.1.2

Multiply $3$ by $1$ .

$y - 8 = 3 x + 3$

Step 3

Rewrite the equation.

$3 x + 3 = y - 8$

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.

$3 x + 3 - y = - 8$

Step 4.2

Move $3$ .

$3 x - y + 3 = - 8$

Step 5

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

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Step 5.1

Subtract $3$ from both sides of the equation.

$3 x - y = - 8 - 3$

Step 5.2

Subtract $3$ from $- 8$ .

$3 x - y = - 11$

Step 6