Question

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?

Answer 1

The answer is Multiply each side by −8, subtract 35 from each side

$- \frac{1}{8}(x+35)=-7$

Multiply each side by -8:
$(-8)(- \frac{1}{8})(x+35)=(-8)(-7) \\ \\ 1(x + 35) = 56 \\ x + 35 = 56$

Subtract 35 from each side:
$x + 35 -35 = 56-35 \\ \\ x + 0 =21 \\ \\ x = 21$