5-2(x+6)=14
Solve for x. I got 10.5 but the check won't come out right???
5-2x-12=14
watch those - signs ...
Got it, it's -10.5
To solve the equation 5 - 2(x + 6) = 14 for x, we can follow these steps:
1. Start by simplifying the equation within the parentheses:
5 - 2(x + 6) = 14
5 - 2x - 12 = 14 (Multiply -2 by both terms inside the parentheses)
-2x - 7 = 14 (Combine like terms)
2. Next, isolate the variable term (-2x) by moving the constant term (-7) to the other side of the equation:
-2x = 14 + 7 (Add 7 to both sides)
-2x = 21
3. To solve for x, divide both sides of the equation by -2:
-2x / -2 = 21 / -2 (Divide both sides by -2)
x = -10.5
So the solution for x is -10.5, not 10.5.
If the check doesn't come out right, let's verify the solution by substituting x = -10.5 back into the original equation and see if it holds:
5 - 2(x + 6) = 14
5 - 2(-10.5 + 6) = 14
5 - 2(-4.5) = 14
5 + 9 = 14
14 = 14
The equation holds true with x = -10.5, which means it is the correct solution. If the check is not coming out right, then there might have been a mistake made during calculations or while performing the check again.