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solve for x.\\(\frac{3x + 17}{2} = 4\\) simplify your answer as mu

Question

solve for x.\\(\frac{3x + 17}{2} = 4\\) simplify your answer as mu

Explanation:

Step1: Eliminate denominator

Multiply both sides by 2:
$$\frac{3x+17}{2} \times 2 = 4 \times 2$$
$$3x+17=8$$

Step2: Isolate variable term

Subtract 17 from both sides:
$$3x+17-17=8-17$$
$$3x=-9$$

Step3: Solve for x

Divide both sides by 3:
$$\frac{3x}{3}=\frac{-9}{3}$$
$$x=-3$$

Answer:

$x=-3$