Explanation:
To solve the equation for x:
12(12x - 10) = 23(9 + 6x)
Let's simplify the equation step by step:
First, distribute the 12 on the left side and the 23 on the right side:
144x - 120 = 207 + 138x
Next, let's gather the x terms on one side and the constant terms on the other side:
144x - 138x = 207 + 120
Combine like terms:
6x = 327
Finally, solve for x by dividing both sides by 6:
x = 327 / 6
Simplifying the division:
x ≈ 54.5
Therefore, the solution for x is approximately x ≈ 54.5.