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13 votes
-3(x-14) + 9x = 6x + 42

2 Answers

11 votes

Answer:

all real numbers

Explanation:

-3 (x - 14) + 9x = 6x + 42

-3 (x - 14) + 9x - 6x = 6x - 6x + 42

-3 (x - 14) + 3x = 42

-3 (x) - 3 (-14) + 3x = 42

-3x + 42 + 3x = 42

3x - 3x + 42 = 42

42 = 42

User Ganatra
by
7.9k points
1 vote

Answer:

All real numbers are solutions.

Explanation:

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

−3(x−14)+9x=6x+42

Step 1: Simplify both sides of the equation.

−3(x−14)+9x=6x+42

(−3)(x)+(−3)(−14)+9x=6x+42(Distribute)

−3x+42+9x=6x+42

(−3x+9x)+(42)=6x+42(Combine Like Terms)

6x+42=6x+42

6x+42=6x+42

Step 2: Subtract 6x from both sides.

6x+42−6x=6x+42−6x

42=42

Step 3: Subtract 42 from both sides.

42−42=42−42

0=0

User Tellingmachine
by
8.1k points

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