SOLUTION: .Write the solution in the form x ? a, where ? represents the correct inequality symbol and a represents the value of the solution. 2(3x-8)+4 >/= 5(x+12)-3x

Algebra ->  College  -> Linear Algebra -> SOLUTION: .Write the solution in the form x ? a, where ? represents the correct inequality symbol and a represents the value of the solution. 2(3x-8)+4 >/= 5(x+12)-3x      Log On


   

Question 1104675: .Write the solution in the form x ? a, where ? represents the correct inequality symbol and a represents the value of the solution.
2(3x-8)+4 >/= 5(x+12)-3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%283x-8%29%2B4+%3E=+5%28x%2B12%29-3x Start with the given inequality.

2%283x%29%2B2%28-8%29%2B4+%3E=+5%28x%29%2B5%2812%29-3x Distribute.

6x-16%2B4+%3E=+5x%2B60-3x Multiply.

6x-12+%3E=+2x%2B60 Combine like terms.

6x-12-2x+%3E=+2x%2B60-2x Subtract 2x from both sides.

4x-12+%3E=+60 Combine like terms.

4x-12%2B12+%3E=+60%2B12 Add 12 to both sides.

4x+%3E=+72 Combine like terms.

4x%2F4+%3E=+72%2F4 Divide both sides by 4.

x+%3E=+18 Simplify both sides. This is the final answer.