Question

Which of the following equations is equivalent to -2(-3 + 2x) = 5?

Answer 1

\(\color{blue}{ -2(-3+2x)=5}\) expand the parenthesis on the left,

\(\color{blue}{ 6-4x=5}\) subtract 6 from both sides

\(\color{blue}{ 6-4x\color{red} { -6 } =5\color{red} { -6 } }\)

\(\color{blue}{ -4x =-1 }\) divide both sides by -4

\(\color{blue}{ \color{red} { \frac{\color{blue} { -4x }}{-4} } =\color{red} { \frac{\color{blue} { -1 }}{-4} } }\)

\(\color{blue}{ \color{red} { \frac{\color{blue} { \cancel{ - 4 }x }}{\cancel{ - 4 }} } =\color{red} { \frac{\color{blue} { \cancel{ - }1 }}{\cancel{ - }4} } }\) you finally get,

\(\color{blue}{ x =\frac{1}{4} }\)

Answer 2

look at the beginning of my process (2nd step) and then look at your choices.

Answer 3

thanks! @SolomonZelman

Answer 4

You welcome !