x/14+12=3x-8.5
14x+168=42x-119
-28x+168=-119
-28x=49
x=1.75
To solve the equation x/14 + 12 = 3x - 8.5, we need to isolate the variable x. Here's how you can do it step by step:
Step 1: Get rid of the fraction by multiplying both sides of the equation by 14.
14 * (x/14 + 12) = 14 * (3x - 8.5)
x + 168 = 42x - 119
Step 2: Simplify the equation by combining like terms.
x - 42x = -119 - 168
-41x = -287
Step 3: Divide both sides of the equation by -41 to solve for x.
x = -287 / -41
x = 7
Therefore, the solution to the equation x/14 + 12 = 3x - 8.5 is x = 7.