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

1 Answer
Nov 21, 2016

Answer:

#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#