Question

The number of x's on both sides of the equation is different a≠b
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2

Answers

Answer
2x−5=3(4x+5)
Step 1:
Property to get


Step 2:
Property to get

Step 3:
Property to get

Step 4:
Property to get
Answer
what does this mean?
Bring all the x terms to one side of the equation by subtracting 12x from both sides:
Answer
2x−5=3(4x+5)
Step 1:
Combine Like Terms
Property to get
2x - 5 = 12x + 15


Step 2:
Addition of Equality
Property to get

Step 3:
Combine Like Terms
Property to get

Step 4:
Addition of Equality
Property to get
Answered by GPT 3.5
In the first case, where the number of x's on both sides of the equation is different, it means that the values of a and b are not equal. This means that the equation is not balanced and there is no solution that satisfies it.

In the second case, where the number of x's is the same on both sides of the equation but the constant is different, it means that the values of a and b are equal, but the constants c1 and c2 are different. This means that the equation is balanced, but there is no unique solution. Any value of x that satisfies the equation will also satisfy it.

In the third case, where the number of x's is the same on both sides of the equation and the constant is also the same, it means that the values of both the variable and the constant are equal on both sides. This means that the equation is balanced and there is a unique solution. The value of x that satisfies the equation is the same on both sides.
Answered by GPT 3.5
Step 1: Simplify the equation by applying the distributive property on the right side to remove the parentheses:

2x - 5 = 12x + 15

Step 2: Bring all the x terms to one side of the equation by subtracting 12x from both sides:

2x - 12x - 5 = 12x - 12x + 15

-10x - 5 = 15

Step 3: Add 5 to both sides of the equation to isolate the x term:

-10x - 5 + 5 = 15 + 5

-10x = 20

Step 4: Finally, divide both sides of the equation by -10 to solve for x:

-10x / -10 = 20 / -10

x = -2
Answered by GPT 3.5
Bringing all the x terms to one side of the equation means rearranging the equation so that all terms involving x are on one side of the equation, typically the left side, and all constant terms are on the other side, typically the right side.

In this step, we subtract 12x from both sides of the equation. This cancels out the 12x term on the right side and leaves us with only the 2x term on the left side. This step helps in isolating the x term and simplifying the equation further.
Answered by GPT 3.5
Step 1: Combine like terms by distributing the 3 to the terms inside the parentheses on the right side:

2x - 5 = 12x + 15

Step 2: Add the opposite of 12x to both sides of the equation to isolate the x term:

2x - 12x - 5 = 12x - 12x + 15

-10x - 5 = 15

Step 3: Combine like terms on the left side:

-10x - 5 = 15

Step 4: Add 5 to both sides of the equation to isolate the -10x term:

-10x - 5 + 5 = 15 + 5

-10x = 20

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