5x-3=2(x-6) i got -3 when i solved it but when i check my work its not correct what am i doing wrong?
5x-3=2(x-6)
5x - 3 = 2x - 12
3x = -9
x = -3
CHECK:
(5 * -3) - 3 = (2 * -3) - 12
-15 - 3 = -6 -12
-18 = -18
You're right. x = -3
thank you
You're welcome.
To determine what went wrong in your calculation, let's go through the steps of solving the equation step-by-step.
Given equation: 5x - 3 = 2(x - 6)
1. Distribute the 2:
5x - 3 = 2x - 12
2. Move the x terms to one side of the equation:
5x - 2x = -12 + 3
3x = -9
3. Divide both sides by 3 to solve for x:
(3x)/3 = (-9)/3
x = -3
Now let's check if -3 is indeed the correct solution:
Substitute x = -3 back into the original equation:
5(-3) - 3 = 2(-3 - 6)
-15 - 3 = 2(-9)
-18 = -18
The left-hand side (-18) is equal to the right-hand side (-18), indicating that -3 is indeed the correct solution!
If your answer is different and does not satisfy the equation, it's possible that an error was made during calculation. I recommend carefully double-checking each step and calculation to identify where the mistake occurred. Sometimes it can be as simple as a sign error or an incorrect arithmetic operation.