To solve the equation \(-2x + 5 = 4x - 7 + 2x + 2x\), let's simplify and isolate \(x\).
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Start with the original equation:
\[ -2x + 5 = 4x - 7 + 2x + 2x \]
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Combine like terms on the right side:
\[ 4x + 2x + 2x = 8x \]
Therefore, the equation simplifies to:
\[ -2x + 5 = 8x - 7 \]
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Next, let's get all \(x\) terms on one side and constant terms on the other side. Add \(2x\) to both sides:
\[ 5 = 8x + 2x - 7 \]
Which simplifies to:
\[ 5 = 10x - 7 \]
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Now, add \(7\) to both sides:
\[ 5 + 7 = 10x \]
This gives us:
\[ 12 = 10x \]
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Finally, divide both sides by \(10\):
\[ x = \frac{12}{10} = \frac{6}{5} \]
Thus, the value of \(x\) is:
\[ \boxed{\frac{6}{5}} \]
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