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45 votes
45 votes
Solve the equation 2(3x-2)=(12x+4)

User Drys
by
3.1k points

2 Answers

26 votes
26 votes

Answer:

x = -4/3 or -1.3333333....... (infinite)

Step-by-step explanation:

6x-4=(12x+4)

6x-4+4=12x+4+4

6x = 12x + 4 + 4

6 = 12x + 8

6x - 12x = 12x + 8 - 12x

-6 = 12x + 8 - 12x

-6x = 8

-6x/6 = 8/-6

x = 8/-6

x = -4/3

User Darksinge
by
2.3k points
10 votes
10 votes

Answer:


\sf x = -(4)/(3)

Step-by-step explanation:

Given Expression:

  • 2(3x-2) = (12x+4)

Remove Parenthesis:

  • 2(3x) - 2(2) = 12x + 4

Multiply Integers:

  • 6x - 4 = 12x + 4

Exchange Sides:

  • 12x - 6x = -4 - 4

Simplify:

  • 6x = -8

Divide Both Sides by 6:

  • x = -8/6 = -4/3
User Gorkhali Khadka
by
2.7k points