Pre-Algebra Examples

$(- 4) \cdot (4 x) + 2 y = 3 (- 4)$

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

Multiply $4$ by $- 4$ .

$- 16 x + 2 y = 3 (- 4)$

Step 3

Simplify the right side.

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Step 3.1

Multiply $3$ by $- 4$ .

$- 16 x + 2 y = - 12$

Step 4

Rewrite the equation.

$- 12 = - 16 x + 2 y$

Step 5

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

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Step 5.1

Add $16 x$ to both sides of the equation.

$- 12 + 16 x = 2 y$

Step 5.2

Subtract $2 y$ from both sides of the equation.

$- 12 + 16 x - 2 y = 0$

Step 5.3

Move $- 12$ .

$16 x - 2 y - 12 = 0$

Step 6

Add $12$ to both sides of the equation.

$16 x - 2 y = 12$

Step 7