Problem

Solve 8x+3+3x+8=1

Answer

Expert–verified
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Answer

\boxed{x = -7, 7}

Steps

Step 1 :8x+3+3x+8=1

Step 2 :Find a common denominator: (x+3)(x+8)

Step 3 :8(x+8)+3(x+3)(x+3)(x+8)=1

Step 4 :8x+64+3x+9=(x+3)(x+8)

Step 5 :11x+73=x2+11x+24

Step 6 :x249=0

Step 7 :x2=49

Step 8 :x=±49

Step 9 :\boxed{x = -7, 7}

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