SOLUTION: Solve. –3(x + 2) + 4x = 5x + 18

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Question 92968: Solve. –3(x + 2) + 4x = 5x + 18
Found 2 solutions by prabhjyot, jim_thompson5910:
Answer by prabhjyot(165) About Me  (Show Source):
You can put this solution on YOUR website!
–3(x + 2) + 4x = 5x + 18
-3x-6+4x=5x+18
Taking like terms to one sides of the equation
-3x+4x-5x=18+6
-4x=24
divide both sides by 4 we get
x=-6

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-3%28x+%2B+2%29+%2B+4x+=+5x+%2B+18

-3x+-6+%2B+4x+=+5x+%2B+18 Distribute

1x-6=5x%2B18 Combine the variable terms -3x and 4x on the left side to get 1x



1x=5x%2B18%2B6 Add 6 to both sides


1x-5x=18%2B6 Subtract 5x from both sides



-4+x=18%2B6 Combine like terms 1+x and -5+x on the left side to get -4+x




-4+x=24 Combine like terms 6 and 18 on the right side to get 24





x=%2824%29%2F%28-4%29 Now divide both sides by -4 to isolate and solve for x


x=+-6 Reduce



So our answer is
x=+-6




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Check:
-3x-6%2B4x=5x%2B18 Start with the given equation


-3%28-6%29-6%2B4%28-6%29=5%28-6%29%2B18 Plug in x=-6




18-6-24=-30%2B18 Multiply


-12=-12 Combine like terms. Since the two equations are equal, this verifies our answer.