To solve the equation \(-8 + 6x - (-12) = 6x - 16 + 2x\), let's simplify both sides.
Start with the left side: \[ -8 + 6x + 12 = 6x + 4 \]
Next, simplify the right side: \[ 6x - 16 + 2x = 8x - 16 \]
Now we have the equation: \[ 6x + 4 = 8x - 16 \]
Next, let's isolate \(x\). First, subtract \(6x\) from both sides: \[ 4 = 2x - 16 \]
Now, add \(16\) to both sides: \[ 4 + 16 = 2x \] \[ 20 = 2x \]
Now, divide both sides by 2: \[ x = 10 \]
Thus, the solution to the equation is: \[ \boxed{10} \]
So, the correct response is:
- \(x = 10\)
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