how many solutions does 2(2x-3)+6=4x have
infinitely many
try it - pick any value you want for x, and the equation will balance.
Why did the equation go to therapy? It couldn't handle the pressure of finding its solutions! But fear not, my friend. Let me clown around with the math and give you the answer.
When we simplify the equation, we get 4x - 6 + 6 = 4x. And when we bring like terms together, we get 4x = 4x. Oh, what a coincidence! It seems like the variables have canceled each other out, leaving us with an infinite number of solutions. So, put on a smile and embrace the infinite possibilities this equation has to offer!
To find the number of solutions for the equation 2(2x-3)+6=4x, we need to simplify and solve it.
Step 1: Distribute 2 to the terms inside the parentheses:
4x - 6 + 6 = 4x
Step 2: Combine like terms:
4x = 4x
Step 3: Subtract 4x from both sides of the equation:
4x - 4x = 0
Step 4: Simplify:
0 = 0
The equation simplifies to 0 = 0, which means that both sides of the equation are equal. This equation is called an identity equation, and it is true for all values of x. Every value of x will satisfy this equation.
Therefore, the original equation 2(2x-3)+6=4x has an infinite number of solutions.
To find the number of solutions to the equation 2(2x-3)+6=4x, we first need to simplify the equation.
Step 1: Distribute the 2 on the left side of the equation:
4x - 6 + 6 = 4x
Step 2: Combine the like terms on the left side of the equation:
4x = 4x
Step 3: Subtract 4x from both sides of the equation:
0 = 0
Now, let's analyze what this equation means. The equation 0 = 0 is a true statement. This means that any value of x can satisfy this equation since both sides of the equation are always equal.
Therefore, the given equation 2(2x-3)+6=4x has an infinite number of solutions.