Let's simplify the given equation step by step:
12x(x-5) - (6x+1)(2x-3) = 47
First, let's expand the terms inside the parentheses:
12x^2 - 60x - (12x^2 - 18x + 2x - 3) = 47
Then, let's distribute the negative sign across the terms inside the parentheses:
12x^2 - 60x - 12x^2 + 18x - 2x + 3 = 47
The terms 12x^2 and -12x^2 cancel each other out:
-60x + 18x - 2x + 3 = 47
Combine the like terms:
-44x + 3 = 47
Subtract 3 from both sides:
-44x = 44
Divide by -44 to find the value of x:
x = -1
Therefore, the solution to the equation is x = -1.
Let's simplify the given equation step by step:
12x(x-5) - (6x+1)(2x-3) = 47
First, let's expand the terms inside the parentheses:
12x^2 - 60x - (12x^2 - 18x + 2x - 3) = 47
Then, let's distribute the negative sign across the terms inside the parentheses:
12x^2 - 60x - 12x^2 + 18x - 2x + 3 = 47
The terms 12x^2 and -12x^2 cancel each other out:
-60x + 18x - 2x + 3 = 47
Combine the like terms:
-44x + 3 = 47
Subtract 3 from both sides:
-44x = 44
Divide by -44 to find the value of x:
x = -1
Therefore, the solution to the equation is x = -1.