Question

An equation is shown below.



−
4
5
(
9
x
−
20
)
−
3
x
=
4
5
x
−
6



What value of
x
makes this equation true?

Answer 1

Solve: -4/5(9x - 20) - 3x = 4/5 x - 6

Distribute: -36/5 x + 16 - 3x = 4/5 x - 6

Combine x-terms on left: -36/5 x - 15/5 x = -51/5 x, so
-51/5 x + 16 = 4/5 x - 6

Bring x-terms together: -51/5 x - 4/5 x = -55/5 x = -11x
So -11x + 16 = -6

Subtract 16: -11x = -22 ⇒ x = 2.