Finite Math Examples

$4 x - 8 = 6 x + 12$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $6 x$ from both sides of the equation.

$4 x - 8 - 6 x = 12$

Step 1.2

Subtract $12$ from both sides of the equation.

$4 x - 8 - 6 x - 12 = 0$

Step 2

Simplify $4 x - 8 - 6 x - 12$ .

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Step 2.1

Subtract $6 x$ from $4 x$ .

$- 2 x - 8 - 12 = 0$

Step 2.2

Subtract $12$ from $- 8$ .

$- 2 x - 20 = 0$

Step 3

Factor $- 2$ out of $- 2 x - 20$ .

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Step 3.1

Factor $- 2$ out of $- 2 x$ .

$- 2 x - 20 = 0$

Step 3.2

Factor $- 2$ out of $- 20$ .

$- 2 x - 2 \cdot 10 = 0$

Step 3.3

Factor $- 2$ out of $- 2 (x) - 2 (10)$ .

$- 2 (x + 10) = 0$