To solve the equation \( 8x - 6 = 10x - 8 \), follow these steps:
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First, get all terms involving \( x \) on one side and constant terms on the other side. Subtract \( 8x \) from both sides:
\[ -6 = 10x - 8 - 8x \] This simplifies to: \[ -6 = 2x - 8 \]
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Next, add \( 8 \) to both sides to isolate the term with \( x \):
\[ -6 + 8 = 2x \] This simplifies to: \[ 2 = 2x \]
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Now, divide both sides by \( 2 \):
\[ x = 1 \]
So, the solution to the equation \( 8x - 6 = 10x - 8 \) is \( x = 1 \).