solve for x to determine if the equation has one, none or infinite solutions 6(2x+4)-24=12x math equations
To solve for x, let's simplify the equation step by step:
6(2x + 4) - 24 = 12x
Start by multiplying 6 with each term inside the parentheses:
12x + 24 - 24 = 12x
The 24 and -24 cancel each other out:
12x + 0 = 12x
Any number plus zero equals itself:
12x = 12x
At this point, both sides of the equation are equal, which means the equation has an infinite number of solutions.
To solve the equation 6(2x + 4) - 24 = 12x, we can follow these steps:
Step 1: Distribute the 6 to the terms inside the parentheses:
12x + 24 - 24 = 12x
Step 2: Simplify:
12x = 12x
Step 3: Move all terms containing x to one side of the equation:
12x - 12x = 0
Step 4: Simplify:
0 = 0
The equation simplifies to 0 = 0, which is always true. This means that the equation has infinite solutions. In other words, any value of x will satisfy the equation.