Question

Solve for x:

negative 4 over 3, multiplied by x minus 6 equals negative 26

A.) −27
B.) −15
C.) 15
D.) 27

Answer 1

Hey there, Neleah2005!

The equation that you provided is -$\frac{4}{3}$ x - 6 = -26
To solve it, we need to isolate x, so we add 6 to both sides and we get
$- \frac{4}{3} x = -20$
Now, we have to isolate x by doing the reciprocal of $- \frac{4}{3}$ which is $- \frac{3}{4}$
So we multiply both sides by $- \frac{3}{4}$ to cancel it out and we are left with
x = $\frac{60}{4}$ which is
x = 15

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