How do you solve 12x−56x+3=2−5x?

1 Answer
Erudite
Sep 7, 2017

x=−1519

Explanation:

NOTE: There's more than one way to skin a cat.

12x−56x+3=2−5x

Step 1: multilply both sides by x

x⋅(12x−56x+3)=(2−5x)⋅x

12x2−5x6x+3=2x−5

Step 2: multiply both sides by (6x+3)

6x+3⋅(12x2−5x6x+3)=(2x−5)⋅(6x+3)

12x2−5x=12x2+6x−30x−15

Step 3: simplify

−5x=−24x−15

19x=−15

x=−1519

Step 4: check your answer for x

12x−56x+3=2−5x

12⋅(−1519)−56⋅(−1519)+3=2−5−1519

(−18019)−(9519)(−9019)+(5719)=2+5⋅(1915)

−180−95−90+57=2+193

−180−95−90+57=63+193

27533=253

11 goes into 275 25 times and 11 goes into 33 3 times

253=253

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