(4) 102 = 3x - 6(5x + 10)

(4) 102 = 3x - 6(5x + 10)

(4) 102 = 3x - 6(5x + 10)

Answer

Explanation:

Step1: Expand the equation

$$102 = 3x - 6(5x + 10)$$ $$102 = 3x-(30x + 60)$$ $$102 = 3x - 30x - 60$$

Step2: Combine like terms

$$102=-27x - 60$$

Step3: Isolate the term with (x)

Add (60) to both sides: $$102 + 60=-27x$$ $$162=-27x$$

Step4: Solve for (x)

Divide both sides by (-27): $$x=\frac{162}{-27}$$ $$x = - 6$$

Answer:

(x=-6)