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Solve for c. {:[6c+14=-5c+4+9c],[c=]:}

Solve for c c .\newline6c+14=−5c+4+9cc= \begin{array}{l} 6 c+14=-5 c+4+9 c \\ c= \end{array}

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Full solution

Q. Solve for c c .\newline6c+14=−5c+4+9cc= \begin{array}{l} 6 c+14=-5 c+4+9 c \\ c= \end{array}
  1. Write equation: Write down the given equation. 6c+14=−5c+4+9c6c + 14 = -5c + 4 + 9c
  2. Combine like terms: Combine like terms on the right side of the equation.\newline6c+14=(9c−5c)+46c + 14 = (9c - 5c) + 4\newline6c+14=4c+46c + 14 = 4c + 4
  3. Move terms and constants: Move all terms containing cc to one side of the equation and constant terms to the other side.\newline6c−4c=4−146c - 4c = 4 - 14\newline2c=−102c = -10
  4. Divide to solve for c: Divide both sides of the equation by 22 to solve for cc. \newline2c2=−102\frac{2c}{2} = \frac{-10}{2}\newlinec=−5c = -5

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