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

Question

Isaiah Anthony · Accepted Answer

x = 15

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!

Eva Abramson · Answer

undefined To solve 8(x - 3) = 96 using the distributive property, distribute the 8 across the parentheses:

8(x - 3) = 8x - 24

Now, set the expression equal to 96:

8x - 24 = 96

Add 24 to both sides:

8x = 120

Divide both sides by 8:

x = 15

Hazel Anglin · Answer

undefined To solve 8(x - 3) = 96 using the distributive property:

Step 1: Distribute the 8 across the expression inside the parentheses.

8(x - 3) = 96

=> 8 * x - 8 * 3 = 96

=> 8x - 24 = 96

Step 2: Now, isolate the variable term by adding 24 to both sides of the equation.

8x - 24 + 24 = 96 + 24

=> 8x = 120

Step 3: Finally, divide both sides of the equation by 8 to solve for x.

8x / 8 = 120 / 8

=> x = 15

So, the solution to the equation 8(x - 3) = 96 using the distributive property is x = 15.