Finite Math Examples

$4 (x - 2) + 14 = 3 (x + 3)$

Step 1

Simplify $4 (x - 2) + 14$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 x + 4 \cdot - 2 + 14 = 3 (x + 3)$

Step 1.1.2

Multiply $4$ by $- 2$ .

$4 x - 8 + 14 = 3 (x + 3)$

Step 1.2

Add $- 8$ and $14$ .

$4 x + 6 = 3 (x + 3)$

Step 2

Simplify $3 (x + 3)$ .

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Step 2.1

Apply the distributive property.

$4 x + 6 = 3 x + 3 \cdot 3$

Step 2.2

Multiply $3$ by $3$ .

$4 x + 6 = 3 x + 9$

Step 3

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

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Step 3.1

Subtract $3 x$ from both sides of the equation.

$4 x + 6 - 3 x = 9$

Step 3.2

Subtract $3 x$ from $4 x$ .

$x + 6 = 9$

Step 4

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

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Step 4.1

Subtract $6$ from both sides of the equation.

$x = 9 - 6$

Step 4.2

Subtract $6$ from $9$ .

$x = 3$