How do you solve $2x-6\geq x+27$ ?

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Answer 1 · 2018-01-30T22:53:51

See a solution process below:

Add $color(red)(6)$ and subtract $color(blue)(x)$ from each side of the inequality to solve for $x$ while keeping the inequality balanced:

$2x - color(blue)(x) - 6 + color(red)(6) >= x - color(blue)(x) + 27 + color(red)(6)$

$2x - 1color(blue)(x) - 0 >= 0 + 33$

$(2 - 1)color(blue)(x) >= 33$

$1color(blue)(x) >= 33$

$x >= 33$

How do you solve 2x-6\geq x+272x-6\geq x+27?