Solve the equation $-(x-5)+5(x-9)=2(x+8)-(2x+5)$
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Solve the equation $-(x-5)+5(x-9)=2(x+8)-(2x+5)$
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-(x-5) + 5(x-9) = 2(x+8) - (2x+5) => -x + 5 + 5x - 45 = 2x + 16 - 2x - 5 => 4x - 40 = 11 => 4x = 51 => x = 51/4.
First, distribute the terms to get -x + 5 + 5x - 45 = 2x + 16 - 2x - 5. Combining like terms on both sides gives 4x - 40 = 11. Adding 40 to both sides yields 4x = 51. Dividing by 4 gives x = 51/4.