a)
\(3x-2=2x-3\)
\(\Leftrightarrow3x-2x=-3+2\)
\(\Leftrightarrow5x=5\)
\(\Leftrightarrow x=1\)
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b)
\(2x+3=5x+9\)
\(\Leftrightarrow2x-5x=9-3\)
\(\Leftrightarrow-3x=6\)
\(\Leftrightarrow x=-2\)
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c)
\(5x-2=7\)
\(\Leftrightarrow-2x=7-5\)
\(\Leftrightarrow-2x=2\)
\(\Leftrightarrow x=-1\)
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d)
\(10x+3-5x=4x+12\)
\(\Leftrightarrow10x-5x-4x=12-3\)
\(\Leftrightarrow x=9\)
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e)
\(11x+42-2x=100-9x-22\)
\(\Leftrightarrow11x-2x+9x=100-22-42\)
\(\Leftrightarrow18x=36\)
\(\Leftrightarrow x=2\)
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f)
\(2x-\left(3-5x\right)=4\left(x+3\right)\)
\(\Leftrightarrow2x-3+5x=4x+12\)
\(\Leftrightarrow2x+5x-4x=12+3\)
\(\Leftrightarrow3x=15\)
\(\Leftrightarrow x=5\)
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g)
\(x\left(x+2\right)=x\left(x+3\right)\)
\(\Leftrightarrow x^2+2x=x^2+3x\)
\(\Leftrightarrow x^2-x^2=3x-2x\)
\(\Leftrightarrow0=1x\)
\(\Leftrightarrow x=0\)
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h)
\(2\left(x-3\right)+3x\left(x-1\right)=5x^2\)
\(\Leftrightarrow2x-6+5x^2-5=5x^2\)
\(\Leftrightarrow2x+5x^2-5x^2=6+5\)
\(\Leftrightarrow2x=11\)
\(\Leftrightarrow x=5,5\)
Vậy....