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