Problem

a $120-(2 x+5) \leqslant 11+8 x$

Answer

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Answer

\(\boxed{x \geqslant \frac{52}{5}}\)

Steps

Step 1 ：First, simplify the inequality: \(120 - (2x + 5) \leqslant 11 + 8x\)

Step 2 ：Distribute the negative sign: \(120 - 2x - 5 \leqslant 11 + 8x\)

Step 3 ：Combine like terms: \(115 - 2x \leqslant 11 + 8x\)

Step 4 ：Move all terms with x to one side and constants to the other side: \(10x \geqslant 104\)

Step 5 ：Divide both sides by 10: \(x \geqslant \frac{52}{5}\)

Step 6 ：\(\boxed{x \geqslant \frac{52}{5}}\)

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