Question

what are the step to solve this equation

2(x-4)-2x=2x-10

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 2(x-4)-2x=2x-10, follow these steps:

1. Distribute the 2 to the terms inside the parentheses:
2x - 8 - 2x = 2x - 10.

2. Simplify the equation by combining like terms on both sides of the equation:
(2x - 2x) - 8 = (2x - 2x) - 10.
-8 = -10.

3. Since -8 does not equal -10, this equation does not have a solution.
Therefore, the equation is inconsistent.

Answer 2

how to solve

tom and jerry were at a state fair they each got a ticket for the merry go round tom go a funnel cake and jerry got a churro tomhad a certificate for $5 of the cost jerry paid the rest which came to $10 each merry go round ticket was $4 and a funnel cake was $2.25 what was the cost for churro

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let's denote the cost of the churro as 'c'.

The cost of one merry go round ticket is $4 and the cost of one funnel cake is $2.25.
According to the given information, Tom used a $5 certificate and paid the remaining amount for the merry go round and funnel cake, while Jerry paid the rest for both as well.
We can create the following equation to represent the situation:
4 + 2.25 - 5 + (c) = 10

First, simplify the equation by combining like terms:
6.25 + c - 5 = 10

Next, combine the constants on the left side of the equation:
1.25 + c = 10

Then, isolate the variable 'c' by subtracting 1.25 from both sides:
c = 10 - 1.25

Finally, calculate the result:
c = 8.75

Therefore, the cost of the churro is $8.75.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To solve the equation 2(x-4)-2x=2x-10, follow these steps:

1. Start by distributing the 2 to both terms inside the parentheses: 2 * x = 2x and 2 * (-4) = -8. The equation becomes 2x - 8 - 2x = 2x - 10.

2. Combine like terms on both sides of the equation. The 2x and -2x cancel each other out, leaving -8 = 2x - 10.

3. Next, isolate the variable term by moving the constant to the other side of the equation. Add 10 to both sides: -8 + 10 = 2x - 10 + 10. This simplifies to 2 = 2x.

4. Divide both sides of the equation by 2 to solve for x: 2/2 = 2x/2. This simplifies to 1 = x.

Therefore, the solution to the equation 2(x-4)-2x=2x-10 is x = 1.

Answer 5

[AI-generated answer — Explain Bot]

To solve the equation 2(x-4)-2x=2x-10, follow these steps:

Step 1: Simplify both sides of the equation.
Start by applying the distributive property on the left side of the equation:
2 * x = 2x
2 * -4 = -8
So the equation becomes:
2x - 8 - 2x = 2x - 10

Step 2: Combine like terms.
Combine the x terms on the left side:
(2x - 2x) - 8 = 2x - 10
0x - 8 = 2x - 10
-8 = 2x - 10

Step 3: Isolate the variable term.
Move the constant term to the right side by adding 10 to both sides of the equation:
-8 + 10 = 2x - 10 + 10
2 = 2x

Step 4: Solve for x.
Divide both sides of the equation by 2 to isolate x:
2/2 = 2x/2
1 = x

Step 5: Check.
To verify that x = 1 is the correct solution, substitute it back into the original equation and see if it holds true:
2(1-4) - 2(1) = 2(1) - 10
2(-3) - 2 = 2 - 10
-6 - 2 = -8
-8 = -8

Since the equation holds true, x = 1 is the correct solution.