Question

If p is equal to 2 , what value of x makes the equation 2(3x−1)+10=2x−8 true?

Answer 1

To solve the equation 2(3x−1)+10=2x−8, we expand and simplify the terms to isolate x and find that x = -4 is the value that makes the equation true.

Step-by-step explanation:

To solve the equation 2(3x−1)+10=2x−8 when p is equal to 2, we start by expanding and simplifying the equation. First, distribute the 2 into the parenthesis:

• 2 × 3x gives us 6x.
• 2 × −1 gives us −2.

So the equation becomes 6x − 2 + 10 = 2x − 8.

Combine like terms:

• −2 + 10 simplifies to 8.

Now the equation is 6x + 8 = 2x − 8. To isolate x, move all the x terms to one side of the equation:

• Subtract 2x from both sides: 6x − 2x + 8 = 2x − 2x − 8, which simplifies to 4x + 8 = − 8.

Next, move the constant term to the other side:

• Subtract 8 from both sides: 4x + 8 − 8 = − 8 − 8, which simplifies to 4x = − 16.

Finally, divide both sides by 4 to solve for x:

• 4x − 4 = − 16 − 4, which simplifies to x = − 4.

Therefore, the value of x that makes the equation true is − 4.

Answer 2

x = -4

Step-by-step explanation:

2(3x - 1) + 10 = 2x - 8

6x - 2 + 10 = 2x - 8

6x +8 = 2x - 8

6x = 2x -8 -8

6x - 2x = -16

4x = -16

x = -16/4

x = -4