7(6x - 2) = 7(6x - 2)
The equation has
A: no solution
B: Infinitely many solutions
C: one solution ____
3 answers
To solve the equation \( 7(6x - 2) = 7(6x - 2) \), we can first notice that both sides of the equation are identical.
This means that for any value of \( x \), the left side will always equal the right side. Thus, this equation is true for every value of \( x \).
Therefore, the equation has:
B: Infinitely many solutions.
Let's solve the equation step by step:
Given: \[ -4(6x - 8) = 24x + 32 \]
First, distribute \(-4\) on the left side: \[ -24x + 32 = 24x + 32 \]
Next, to isolate \(x\), let's move all terms involving \(x\) to one side and the constant terms to the other side. Adding \(24x\) to both sides: \[ 32 = 24x + 24x + 32 \] This simplifies to: \[ 32 = 48x + 32 \]
Now, subtract \(32\) from both sides: \[ 0 = 48x \]
Dividing both sides by \(48\): \[ x = 0 \]
So, the solution is \( x = 0 \).
Since we found a specific solution, the answer is:
C: one solution \(, x = 0\).
