Pre-Algebra Examples

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

Step 1

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

Step 2

Simplify the left side.

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $- 2$ by $3$ .

$- 2 x - 6 + y = 7$

Step 3

Rewrite the equation.

$7 = - 2 x - 6 + y$

Step 4

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

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Step 4.1

Add $2 x$ to both sides of the equation.

$7 + 2 x = - 6 + y$

Step 4.2

Subtract $y$ from both sides of the equation.

$7 + 2 x - y = - 6$

Step 4.3

Move $7$ .

$2 x - y + 7 = - 6$

Step 5

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

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Step 5.1

Subtract $7$ from both sides of the equation.

$2 x - y = - 6 - 7$

Step 5.2

Subtract $7$ from $- 6$ .

$2 x - y = - 13$

Step 6