B is between A and C. Solve for x, if AB=2x+6, BC=4x-3, and AC=5x+12
you know that AB+BC = AC
so, plug in the values:
2x+6 + 4x-3 = 5x+12
6x+3 = 5x+12
x = 9
To find the value of x, we can use the fact that B is between A and C. This means that the sum of the lengths of AB and BC should be equal to the length of AC.
Therefore, we can set up the following equation:
AB + BC = AC
Substituting the given values:
(2x + 6) + (4x - 3) = 5x + 12
Now, let's solve this equation step by step:
2x + 6 + 4x - 3 = 5x + 12
Combine like terms:
6x + 3 = 5x + 12
Subtract 5x from both sides:
6x + 3 - 5x = 5x + 12 - 5x
x + 3 = 12
Subtract 3 from both sides:
x + 3 - 3 = 12 - 3
x = 9
Therefore, x is equal to 9.