83,929 views
11 votes
11 votes
Solve for x

2(x+7) = 6x + 9 -4x

User Justin Patten
by
2.6k points

2 Answers

11 votes
11 votes


\huge\text{Hey there!}


\large\textsf{2(x + 7) = 6x + 9 - 4x}


\large\textsf{2x + 14 = 6x + 9 - 4x}


\large\textsf{2x + 14 = 2x + 9}


\large\text{SUBTRACT \textsf{2x} to BOTH SIDES}


\large\textsf{2x + 14 - 2x = 2x + 9 - 2x}


\large\text{CANCEL out: \textsf{2x - 2x} because that gives you \textsf{0}}


\large\text{NEW EQUATION: \textsf{14 = 9}}


\large\text{SUBTRACT \textsf{14} to BOTH SIDES}


\large\textsf{14 - 14 = 9 - 14}


\large\textsf{14 - 14 = \bf 0}


\large\textsf{9 - 14 = \bf -5}


\large\textsf{\bf 0 = -5}


\large\textsf{Therefore, this means that you DO NOT have any solutions to this}\\\large\textsf{equation}


\boxed{\boxed{\huge\text{Therefore, your answer: \textsf{No Solutions}}}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Cclloyd
by
2.7k points
25 votes
25 votes

Answer:

no solutions

Explanation:

2(x+7) = 6x + 9 -4x

Distribute

2x+14 = 6x + 9 -4x

Combine like terms

2x+14 = 2x + 9

Subtract 2x from each side

2x+14-2x = 2x + 9 -2x

14 = 9

This is never true so there are no solutions

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