Solve the following equation for x Express your answer in the simplest form

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.

Solve the following equation for x Express your answer in the simplest form

-4(6x-8)=24x+32

The equation has

A: no solution

B: Infinitely many solutions

C: one solution ____

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 \(, x = 0\).