solve: 2x+2(x+3)=2(x+7)
what I got was x=4 but I really think I calculated wrong. Can you show me the step by step process please?
first off, did you check to see whether x=4 fits the equation?
2(4)+2(4+3) =?= 2(4+7)
8 + 14 =?= 22
yes, so your answer is correct
2x+2(x+3)=2(x+7)
2x+2x+6 = 2x+14
4x+6 = 2x+14
2x = 8
x = 4
Looks like you nailed it.
Good job.
2x+2(x+3)=2(x+7)
2x + 2x + 6 = 2x + 14
4x + 6 = 2x + 14
2x = 8
x = 4
You're right.
To solve the equation 2x + 2(x+3) = 2(x+7), let's start by simplifying both sides of the equation.
First, distribute the 2 inside the parentheses:
2x + 2x + 6 = 2x + 14
Combine like terms on both sides of the equation:
4x + 6 = 2x + 14
Next, let's isolate the variable x by moving all the terms with x to one side of the equation and the constant terms to the other side.
Subtract 2x from both sides:
4x - 2x + 6 = 2x - 2x + 14
This simplifies to:
2x + 6 = 14
Now, subtract 6 from both sides:
2x + 6 - 6 = 14 - 6
Simplifying further:
2x = 8
Finally, divide both sides by 2 to solve for x:
2x/2 = 8/2
The solution is:
x = 4
So, your initial calculation was correct, and x=4 is indeed the solution to the equation.