SOLUTION: 3(x-2)+7=5+4x i know the answer is 4 i just dont know how to do the step by step work

Algebra ->  Inequalities -> SOLUTION: 3(x-2)+7=5+4x i know the answer is 4 i just dont know how to do the step by step work       Log On


   



Question 313152: 3(x-2)+7=5+4x i know the answer is 4 i just dont know how to do the step by step work
Found 3 solutions by nerdybill, texttutoring, Fombitz:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
3(x-2)+7=5+4x
Begin by distributing the 3 to each term inside the parenthesis:
(3x-6)+7=5+4x
3x -6 +7=5+4x
3x+1=5+4x
Subtracting 3x from both sides:
1=5+x
Subtracing 5 from both sides:
-4 = x
.
So x is equal to NEGATIVE four

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
3(x-2)+7=5+4x
First, distribute (get rid of the bracket)
3x-6 + 7 = 5+4x

Next, subtract 3x from both sides
-6 + 7 = 5 + x

Now subtract 5 from both sides
-6 + 7 - 5 = x
1 - 5 = x
x = -4

The answer is -4.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-2%29%2B7=5%2B4x+
Distribute the 3.
3x-6%2B7=5%2B4x
Combine like terms on the left hand side.
3x%2B1=5%2B4x
To get rid of the 1 on the left side, subtract 1 from both sides.
3x%2B1-1=5%2B4x-1
3x%2B0=4x%2B4
3x=4x%2B4
To get rid of the 4x from the right side, subtract 4x from both sides.
3x-4x=4x-4x%2B4
-x=0%2B4
-x=4
Multiply both sides by (-1)
-%28-x%29=-4
highlight%28+x=-4+%29
Verify the solution using the original equation.
3%28x-2%29%2B7=5%2B4x+
3%28-4-2%29%2B7=5%2B4%28-4%29+
3%28-6%29%2B7=5-16
-18%2B7=-11
-11=-11
True statement, good solution.