How do you solve #8(x-3)=96# using the distributive property?

1 Answer
Nov 19, 2017

Answer:

x = 15

Explanation:

Given
#8(x - 3) = 96#
Solve for x

1) Clear the parentheses by distributing the 8
#8x - 24 = 96#

2) Add 24 to both sides to isolate the #8x# term
#8x = 120#

3) Divide both sides by 8 to isolate #x#
#x = 15# ← answer

Answer
#x = 15#
........................

Check
Using the original equation, sub in 15 in the place of #x#
to see if the equation is still true
#8(x - 3) = 96#
Sub in 15 in the place of #x#
#8(15 - 3) = 96#
This equation should still really equal 96

Distribute the 8
#8(10 + 5) - 8(3)# should still equal 96
#80 + 40 - 24# should still equal 96
#120 - 24# should still equal 96
96 does equal 96
Check!