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GB-07-04-001 · Equations with fractional terms

Solve x+144+14x9=−1096\frac{x+14}{4}+\frac{14x}{9}=-\frac{109}{6}.

Solving Equations: Linear with Fractions Booklet p. 11
Method
1) Kill fractions by multiplying every term by the common denominator (LCM)
2) Expand and collect x terms
3) Kill, kill to solve
Worked Example (GB-07-04-001)
1)
Multiply every term on both sides by the common denominator 36.
2)
9(x+14)+4(14x)=−6549(x+14)+4(14x)=-654
3)
65x+126=−65465x+126=-654
4)
Subtract 126, then divide by 65: x=−12x=-12.
Ans = x=−12x=-12