5.1.2 $$ 3-\frac{2 x+5}{8} \geq-2 $$

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Solve the equation $$ 3-\frac{2x+5}{8} \geq -2 $$.
Solve the inequality by following steps:
- step0: Solve for $$x$$:
  $$3-\frac{2x+5}{8}\geq -2$$
- step1: Multiply both sides:
  $$\left(3-\frac{2x+5}{8}ight)	imes 8\geq -2	imes 8$$
- step2: Multiply the terms:
  $$24-2x-5\geq -16$$
- step3: Simplify:
  $$19-2x\geq -16$$
- step4: Move the constant to the right side:
  $$-2x\geq -16-19$$
- step5: Subtract the numbers:
  $$-2x\geq -35$$
- step6: Change the signs:
  $$2x\leq 35$$
- step7: Divide both sides:
  $$\frac{2x}{2}\leq \frac{35}{2}$$
- step8: Divide the numbers:
  $$x\leq \frac{35}{2}$$
The solution to the inequality $$3-\frac{2x+5}{8} \geq -2$$ is $$x \leq \frac{35}{2}$$.
$$ x \leq \frac{35}{2} $$

5.1.2

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