5x -3 = 11 + 12x
combine like figures
add 3 to both sides to remove the 3
5x= 14+ 12x
Now I get confused. If I remove the 12x I have to subtract 12x from 5x which gives me an answer of -7x=14 would the correct answer thus be x= -2?
thanks
you have it, x=-2
thank you
You are correct, no reason to become confused, your steps are ok
After solving any equation, you can always check your answer by simply subbing it back into equation.
If it is correct the left side (LS) will be equal to the right side (RS)
LS = 5(-2)-3 = -10-3 = -13
RS = 11 + 12(-2) = 11 - 24 = -13
YEAH!
To solve the equation 5x - 3 = 11 + 12x, follow these steps:
1. Combine like terms: Start by rearranging the equation so that the x terms are on one side and the constant terms are on the other side. Add 3 to both sides to remove the -3:
5x - 3 + 3 = 11 + 12x + 3
5x = 14 + 12x
2. Simplify: Since there are no more like terms to combine, move on to simplifying the equation as much as possible. In this case, you can subtract 12x from both sides to isolate the variable x:
5x - 12x = 14 + 12x - 12x
-7x = 14
3. Solve for x: Divide both sides of the equation by -7 to find the value of x:
-7x / -7 = 14 / -7
x = -2
Therefore, the correct solution to the equation 5x - 3 = 11 + 12x is x = -2.