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Solve for m. {:[-7+4m+10=15-2m],[m=]:}

Solve for m m .\newline−7+4m+10=15−2mm=□ \begin{array}{l} -7+4 m+10=15-2 m \\ m=\square \end{array}

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Full solution

Q. Solve for m m .\newline−7+4m+10=15−2mm=□ \begin{array}{l} -7+4 m+10=15-2 m \\ m=\square \end{array}
  1. Combine like terms: Combine like terms on the left side of the equation.\newline−7+4m+10=15−2m-7 + 4m + 10 = 15 - 2m\newline(4m+3)=15−2m(4m + 3) = 15 - 2m
  2. Move variable and constant terms: Move the variable terms to one side and the constant terms to the other side.\newline4m+3+2m=15−2m+2m4m + 3 + 2m = 15 - 2m + 2m\newline6m+3=156m + 3 = 15
  3. Isolate the variable term: Subtract 33 from both sides to isolate the variable term.\newline6m+3−3=15−36m + 3 - 3 = 15 - 3\newline6m=126m = 12
  4. Solve for m: Divide both sides by 66 to solve for m.\newline6m6=126\frac{6m}{6} = \frac{12}{6}\newlinem=2m = 2

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