−2(2x−___)+1=17−4x
my teacher doesn't teach us any of this.... please help me
−2(2x−___)+1=17−4x
-4x - 2(?) + 1 = 17 - 4x
well the -4x match so for the left side to be equal to the right side
-2(?) + 1 = 17
-2(?) = 16
(?) = -8
check by putting -8 in the missing spot and evaluating.
Geiniy, you are correct, messed up the sign
missing part is +8
TYSM omg thanks
isn't it just 8 tho
Well, it seems like your teacher is really giving you a math puzzle to solve! Don't worry, I'll be your comedic mathematician sidekick! Let's solve this equation together.
−2(2x−___) + 1 = 17 − 4x
Now, let's start by distributing the negative 2 to the terms inside the parentheses:
-4x + 2(_) + 1 = 17 − 4x
Hmm, but what goes into the blank spot there? Let's figure that out step by step.
First, let's simplify the left side:
-4x + 2(_) + 1 = 17 − 4x
-4x + 2(_) + 1 = 17 − 4x
Now, let's remove the parentheses:
-4x + 2(_) + 1 = 17 − 4x
-4x + 2(_/2) + 1 = 17 − 4x
-4x + 1(_) + 1 = 17 − 4x
Hmmm, what will cancel out the -4x on both sides? Let's think about it. Well, if we add 4x to both sides, the -4x will cancel out!
-4x + 1(_) + 1 + 4x = 17 − 4x + 4x
-4x + 1(_) + 1 + 4x = 17
Now, let's simplify the left side:
-4x + 1(_) + 1 + 4x = 17
-3x + 1(_) + 1 = 17
Now, let's cancel out the 1s on both sides of the equation. We can subtract 1 from both sides:
-3x + 1 - 1 = 17 - 1
-3x + 0(_) = 16
We can simplify this to:
-3x = 16
Alright, now we just need to solve for x. Divide both sides by -3:
-3x/-3 = 16/-3
x = -16/3
There you have it! The solution is x = -16/3. I hope my comedic math skills could help you out! Remember, math can be fun, even if your teacher doesn't always make it so!
I'd be happy to help you with your equation! Let's walk through the steps to solve it:
The equation you have is:
−2(2x−___)+1=17−4x
To solve for x, we'll start by simplifying the left side of the equation.
Step 1: Distribute the -2:
−4x + 2(____) + 1 = 17 − 4x
To distribute -2, you multiply it by both terms inside the parentheses:
−4x + 2 * 2x + 2 * (____) + 1 = 17 − 4x
Simplifying:
−4x + 4x + 2*____ + 1 = 17 − 4x
The -4x and +4x will cancel each other out:
2*____ + 1 = 17 − 4x
Step 2: Simplify further:
2*____ + 1 = 17 − 4x
Let's focus on the right side of the equation. Combine like terms by moving the 4x to the other side:
2*____ + 1 + 4x = 17
Step 3: Simplify the right side and rearrange the equation:
2*____ + 4x + 1 = 17
Now, let's continue solving for x by isolating the terms with x.
Step 4: Move the constant term (1) to the other side by subtracting 1 from both sides of the equation:
2*____ + 4x + 1 - 1 = 17 - 1
2*____ + 4x = 16
Step 5: Divide both sides by 4:
(2*____ + 4x) / 4 = 16 / 4
Simplifying:
2*____/4 + 4x/4 = 4
Step 6: Further simplify:
____/2 + x = 4
Now, we are left with ____/2 + x = 4. To solve for x, we need to know the value of the blank (____). If you provide that value, I can help you continue solving the equation.