SOLUTION: how do you solve 3x+8+2(x-1)>3x+5 can u please show me step by step?

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Question 391150: how do you solve 3x+8+2(x-1)>3x+5
can u please show me step by step?

Found 2 solutions by mananth, haileytucki:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
how do you solve 3x+8+2(x-1)>3x+5
can u please show me step by step?
...
3x+8+2(x-1)>3x+5
3x+8+2x-2>3x+5
5x+6>3x+5
add -6 to both sides
5x+6-6>3x+5-6
5x>3x-1
add -5x to both sides
5x-3x> 3x-3x-1
2x>-1
/2
x>-1/2
...
m.ananth@hotmail.ca

Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
3x+8+2(x-1)>3x+5
Multiply 2 by each term inside the parentheses.
3x+8+2x-2>3x+5
Since 3x and 2x are like terms, add 2x to 3x to get 5x.
5x+8-2>3x+5
Subtract 2 from 8 to get 6.
5x+6>3x+5
Since 3x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting 3x from both sides.
5x+6-3x>5
Since 5x and -3x are like terms, add -3x to 5x to get 2x.
2x+6>5
Since 6 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 6 from both sides.
2x>-6+5
Add 5 to -6 to get -1.
2x>-1
Divide each term in the inequality by 2.
(2x)/(2)>-(1)/(2)
Simplify the left-hand side of the inequality by canceling the common factors.
x>-(1)/(2)

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