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Which equation is equivalent to 15-7x=14

2 Answers

2 votes
The equation that is equivalent to 15-7x=14 is x=7
User Philzen
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2 votes


\huge\text{Hey there!}


\large\text{15 - 7x = 14}


\large\text{-7x + 15 = 14}


\underline{\large\text{SUBTRACT 15 to BOTH SIDES}}


\large\text{-7x + 15 - 15 = 14 - 15}


\underline{\underline{\large\text{CANCEL out: 15 - 15 because that gives you 0}}}


\underline{\underline{\large\text{KEEP: 14 - 15 because that helps solve for the x-value}}}


\large\text{14 - 15 = \bf -1}


\underline{\underline{\underline{\large\text{NEW EQUATION: -7x = -1}}}}


\underline{\large\text{DIVIDE -7 to BOTH SIDES}}


\mathsf{\frac{-7\mathsf{x}}{-7}=(-1)/(-7)}


\underline{\underline{\large\text{CANCEL out: } (-7)/(-7) \large\text{ because that gives you 1}}}


\underline{\underline{\large\text{KEEP: }(-1)/(-7)\large\text{ because helps you get the x-value}}}


\mathsf{x = (-1)/(-7)}


\mathsf{x = (-1/-1)/(-7/-1)}


\mathsf{x =\bf (1)/(7)}


\boxed{\boxed{\large\text{Therefore, your answer is: \bf x = }\bf (1)/(7)}}\huge\checkmark


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

~
\frak{Amphitrite1040:)}

User Pmont
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