Question

The solution too: 4(3x−5)=−80?

Answer 1

$\textsf{Hey there!}$

$\text{FIRST step: you have to DISTRIBUTE}$

$\textsf{4(3x) - 4(-5) = ?}$

$\mathsf{4(3x)= 12x}$

$\mathsf{4(-5) = -20}$

$\mathsf{\underline{= 12x - 20}}$

$\textsf{NEW EQAUTION}$

$\mathsf{12x - 20 = -80}$

$\textsf{SECOND step: ADD by 20 on BOTH of your sides}$

$\mathsf{12x - 20 + 20 = -80 + 20}$

$\mathsf{Cancel\ out: -20 + 20\ because\ it\ gives\ you\ 0 }$

$\textsf{Keep: -80 + 20 because it helps us solve for our answer}$

$\mathsf{-80 + 20 = \underline{-60}}$

$\textsf{NEW EQUATION}$

$\mathsf{12x = -60}$

$\textsf{THIRD step: DIVIDE by 12 on BOTH of your sides}$

$\mathsf{\dfrac{12x}{12} = \dfrac{-60}{12}}$

$\mathsf{Cancel \ out: \dfrac{12x}{12}\ because\ it\ equals\ 1}$

$\mathsf{Keep: \dfrac{-60}{12}\ because\ it\ solves\ for\ x}$

$\mathsf{\underline{\dfrac{-60}{12} = -60 \div 12\rightarrow \bf{-5}}}$

$\textsf{ANSWER}$

$\boxed{\textsf{Thus, your is: \boxed{\mathsf{\bf{x = -5}}}}}\checkmark$

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

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