Question 1104675
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{{{2(3x-8)+4 >= 5(x+12)-3x}}} Start with the given inequality.


{{{2(3x)+2(-8)+4 >= 5(x)+5(12)-3x}}} Distribute.


{{{6x-16+4 >= 5x+60-3x}}} Multiply.


{{{6x-12 >= 2x+60}}} Combine like terms.


{{{6x-12-2x >= 2x+60-2x}}} Subtract 2x from both sides.


{{{4x-12 >= 60}}} Combine like terms.


{{{4x-12+12 >= 60+12}}} Add 12 to both sides.


{{{4x >= 72}}} Combine like terms.


{{{4x/4 >= 72/4}}} Divide both sides by 4.


{{{x >= 18}}} Simplify both sides. This is the final answer.
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