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solve for x. (6x + 12)° (10x - 8)°

Question

solve for x. (6x + 12)° (10x - 8)°

Explanation:

Step1: Set up equation

Since the angles $(6x + 12)^{\circ}$ and $(10x - 8)^{\circ}$ are corresponding angles (assuming the lines are parallel), they are equal. So we set up the equation $6x+12 = 10x - 8$.

Step2: Isolate x - terms

Subtract $6x$ from both sides: $12=10x - 6x-8$, which simplifies to $12 = 4x-8$.

Step3: Isolate the constant

Add 8 to both sides: $12 + 8=4x$, so $20 = 4x$.

Step4: Solve for x

Divide both sides by 4: $x=\frac{20}{4}=5$.

Answer:

$5$