In the equation 7 - 2(x - 3) = 1, what is the value of x?

In the equation 7 - 2(x - 3) = 1, what is the value of x?

• A. x = 4
• B. x = 6
• C. x = 2
• D. x = 5

Answer: (B)

To solve the equation 7 - 2(x - 3) = 1, we first simplify it step by step. Starting with the original equation, we distribute the -2 through the parentheses: 7 - 2(x - 3) becomes 7 - 2x + 6, since -2 times -3 is +6. This simplifies to: 7 + 6 - 2x = 1. Combining the constants on the left side gives us: 13 - 2x = 1. Next, we isolate the term containing x by subtracting 13 from both sides: -2x = 1 - 13, -2x = -12. Now, to solve for x, we divide both sides by -2, which gives us: x = -12 / -2, x = 6. Thus, the value of x in the equation is 6, confirming that this solution aligns correctly with the choices provided.

To solve the equation 7 - 2(x - 3) = 1, we first simplify it step by step. Starting with the original equation, we distribute the -2 through the parentheses:

7 - 2(x - 3) becomes 7 - 2x + 6, since -2 times -3 is +6. This simplifies to:

7 + 6 - 2x = 1.

Combining the constants on the left side gives us:

13 - 2x = 1.

Next, we isolate the term containing x by subtracting 13 from both sides:

-2x = 1 - 13,

-2x = -12.

Now, to solve for x, we divide both sides by -2, which gives us:

x = -12 / -2,

x = 6.

Thus, the value of x in the equation is 6, confirming that this solution aligns correctly with the choices provided.