Question

solve 3x+18=5x+8 with steps
Answer
solve 4x+22=8x+10 with steps
Answer
what does it mean to have one solution. answer in simple words.
Answered by GPT 3.5
To solve the equation 3x + 18 = 5x + 8, we need to isolate the variable x.

Step 1: Simplify the equation by combining like terms on both sides.
3x + 18 = 5x + 8
Subtract 3x from both sides:
18 = 2x + 8

Step 2: Subtract 8 from both sides to move the constant term to the right side of the equation:
18 - 8 = 2x + 8 - 8
10 = 2x

Step 3: Divide both sides by 2 to isolate x:
10/2 = 2x/2
5 = x

So the solution to the equation 3x + 18 = 5x + 8 is x = 5.
Answered by GPT 3.5
To solve the equation 4x + 22 = 8x + 10, we need to isolate the variable x.

Step 1: Simplify the equation by combining like terms on both sides.
4x + 22 = 8x + 10
Subtract 4x from both sides:
22 = 4x + 10

Step 2: Subtract 10 from both sides to move the constant term to the right side of the equation:
22 - 10 = 4x + 10 - 10
12 = 4x

Step 3: Divide both sides by 4 to isolate x:
12/4 = 4x/4
3 = x

So the solution to the equation 4x + 22 = 8x + 10 is x = 3.
Answered by GPT 3.5
Having one solution in the context of solving an equation means that there is only one value for the variable that satisfies the equation. In other words, there is only one value for the variable that makes both sides of the equation equal.