Solve 6(x+9)+4x=5x-6
can you work it out.
6x + 54 + 4x = 5x -6
10x +54 = 5x -6
5x = -60
x = -12
THANKS
Sure! I can help you solve the equation step by step.
The given equation is:
6(x + 9) + 4x = 5x - 6
To solve this equation, we will start by simplifying both sides.
First, let's distribute the 6 to terms inside the parentheses:
6 * x + 6 * 9 + 4x = 5x - 6
6x + 54 + 4x = 5x - 6
Now, combine like terms on both sides of the equation:
(6x + 4x) + 54 = 5x - 6
10x + 54 = 5x - 6
Next, let's isolate the variable terms by moving the constant term (54) to the other side of the equation:
10x + 54 - 54 = 5x - 6 - 54
10x = 5x - 60
Now, let's move all the terms with x to one side and the constant terms to the other side of the equation:
10x - 5x = -60
5x = -60
Finally, solve for x by dividing both sides of the equation by the coefficient of x, which is 5:
5x/5 = -60/5
x = -12
So, the solution to the equation is x = -12.