Finite Math Examples

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

Step 1

Simplify $3 (x + 2)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (x + 2) = 2 x - 3$

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $3$ by $2$ .

$3 x + 6 = 2 x - 3$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

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

$3 x + 6 - 2 x = - 3$

Step 2.2

Subtract $2 x$ from $3 x$ .

$x + 6 = - 3$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Subtract $6$ from both sides of the equation.

$x = - 3 - 6$

Step 3.2

Subtract $6$ from $- 3$ .

$x = - 9$