Question

Given -6x+5=15x+-625Prove x=30find the statement and the reasons statement Reasons-6x+5=15x+-625. Given -6x+5=15x-625. ?-21x+5=-625. ?-21x = -630. ?x=30. prove

Answer 1

The given statement is

$-6x+5=15x+(-625)$

Then, we get

$-6x+5=15x-625$

By distributive property.

Then,

$-21x+5=-625$

By the property of addition for equalities. (We added -15x on each side)

Next,

$-21x=-630$

By the property of addition for equalities. (we added -5 on each side).

Then,

$x=30$

By the property of division for equalities. (we divided -21 on each side).