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(c) (21)/(4x+6)=-7

(c) 214x+6=−7 \frac{21}{4 x+6}=-7

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Full solution

Q. (c) 214x+6=−7 \frac{21}{4 x+6}=-7
  1. Multiply to eliminate fraction: First, let's get rid of the fraction by multiplying both sides by (4x+6)(4x+6).214x+6×(4x+6)=−7×(4x+6)\frac{21}{4x+6} \times (4x+6) = -7 \times (4x+6)
  2. Simplify the equation: Now, simplify the equation. 21=−28x−4221 = -28x - 42
  3. Add to isolate x term: Next, add 4242 to both sides to isolate the term with xx on one side.\newline21+42=−28x−42+4221 + 42 = -28x - 42 + 42
  4. Simplify the equation: Simplify the equation again. 63=−28x63 = -28x
  5. Divide to solve for x: Now, divide both sides by −28-28 to solve for x.63−28=x\frac{63}{-28} = x

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