SOLUTION: 2(3G-5)>2x+6

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Question 343220: 2(3G-5)>2x+6
Answer by haileytucki(390) About Me  (Show Source):
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2(3G-5)>2x+6
Divide each term in the inequality by 2.
(2(3G-5))/(2)>(2x)/(2)+(6)/(2)
Simplify the left-hand side of the inequality by canceling the common factors.
3G-5>(2x)/(2)+(6)/(2)
Simplify the right-hand side of the inequality by simplifying each term.
3G-5>x+3
Since -5 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 5 to both sides.
3G>5+x+3
Simplify the right-hand side of the inequality.
3G>x+8
Divide each term in the inequality by 3.
(3G)/(3)>(x)/(3)+(8)/(3)
Simplify the left-hand side of the inequality by canceling the common factors.
G>(x)/(3)+(8)/(3)
Combine the numerators of all expressions that have common denominators.
G>(x+8)/(3)