Question

Which equation is equivalent to 15-7x=14

Answer 1

The equation that is equivalent to 15-7x=14 is x=7

Answer 2

$\huge\text{Hey there!}$

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

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

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

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

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

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

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

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

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

$\mathsf{\dfrac{-7\mathsf{x}}{-7}=\dfrac{-1}{-7}}$

$\underline{\underline{\large\text{CANCEL out: } \dfrac{-7}{-7} \large\text{ because that gives you 1}}}$

$\underline{\underline{\large\text{KEEP: }\dfrac{-1}{-7}\large\text{ because helps you get the x-value}}}$

$\mathsf{x = \dfrac{-1}{-7}}$

$\mathsf{x = \dfrac{-1\div-1}{-7\div-1}}$

$\mathsf{x =\bf \dfrac{1}{7}}$

$\boxed{\boxed{\large\text{Therefore, your answer is: \bf x = }\bf \dfrac{1}{7}}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$