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What is the solution to 8x - 3(2x - 4) = 3(x - 6)?

A.30
B.2
C.6
D.No solution

1 Answer

4 votes

Answer: A.30

Explanation:

Let's solve your equation step-by-step.

8x−3(2x−4)=3(x−6)

Step 1: Simplify both sides of the equation.

8x−3(2x−4)=3(x−6)

8x+(−3)(2x)+(−3)(−4)=(3)(x)+(3)(−6)(Distribute)

8x+−6x+12=3x+−18

(8x+−6x)+(12)=3x−18(Combine Like Terms)

2x+12=3x−18

2x+12=3x−18

Step 2: Subtract 3x from both sides.

2x+12−3x=3x−18−3x

−x+12=−18

Step 3: Subtract 12 from both sides.

−x+12−12=−18−12

−x=−30

Step 4: Divide both sides by -1.

−x/-1 = -30/-1

x=30

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