−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.
my teacher doesn't teach us any of this.... please help me
-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.
missing part is +8
−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!
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.