How do you solve 4( 1- 3x ) = 88?

1 Answer
Nov 21, 2016

x=-7

Explanation:

equation
4(1-3x)=88

concepts applied
distributive property a(b+c)=a(b)+a(c)
(expanded) commutative property a-b=c\leftrightarrowa-c=b

calculation
4(1-3x)=88
distributive property rArr4(1)-4(3x)=88
commutative property rArr4-88=4(3x)
simplify multiplication rArr4-88=12x
simplify subtraction rArr-84=12x
divide both sides by 12 rArr-84/\color(red)(12)=(\cancel(12)x)/\cancel(\color(red)(12))

solution
x=-7

  • checking
    rArr4(1-3(-7))\stackrel{?}{=}88
    rArr4(1-(-21))\stackrel{?}{=}88
    rArr4-(-84)\stackrel{?}{=}88
    rArr88=88