Solve for x: 3⋅x + 3 = 9⋅x - 3.

Solve for x: 3⋅x + 3 = 9⋅x - 3.

• A. 1.0
• B. 4.52
• C. 4.95
• D. --2.66

Answer: (A)

To solve the equation \(3 \cdot x + 3 = 9 \cdot x - 3\), we start by isolating the variable \(x\). First, rearranging the equation helps simplify the terms. Subtract \(3 \cdot x\) from both sides: \[ 3 + 3 \cdot x - 3 \cdot x = 9 \cdot x - 3 \cdot x - 3 \] This simplifies to: \[ 3 = 6 \cdot x - 3 \] Next, add 3 to both sides: \[ 3 + 3 = 6 \cdot x \] This results in: \[ 6 = 6 \cdot x \] Now, divide both sides by 6: \[ x = 1 \] Thus, the solution to the equation is \(x = 1\). This value satisfies the original equation. Substituting \(x = 1\) back into the original equation confirms the solution: \[ 3 \cdot 1 + 3 = 9 \cdot 1 - 3 \] This simplifies to: \[

To solve the equation (3 \cdot x + 3 = 9 \cdot x - 3), we start by isolating the variable (x).

First, rearranging the equation helps simplify the terms. Subtract (3 \cdot x) from both sides:

[

3 + 3 \cdot x - 3 \cdot x = 9 \cdot x - 3 \cdot x - 3

]

This simplifies to:

[

3 = 6 \cdot x - 3

]

Next, add 3 to both sides:

[

3 + 3 = 6 \cdot x

]

This results in:

[

6 = 6 \cdot x

]

Now, divide both sides by 6:

[

x = 1

]

Thus, the solution to the equation is (x = 1).

This value satisfies the original equation. Substituting (x = 1) back into the original equation confirms the solution:

[

3 \cdot 1 + 3 = 9 \cdot 1 - 3

]

This simplifies to:

[