Question 391150
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)