Solution - Linear equations with one unknown
x=3
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*(8*x+24))/12-(9-3*(x-4))=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3•(8x+24))
———————————-(9-3•(x-4)) = 0
12
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
8x + 24 = 8 • (x + 3)
Equation at the end of step 3 :
24 • (x + 3)
———————————— - (21 - 3x) = 0
12
Step 4 :
24 • (x + 3)
Simplify ————————————
12
Equation at the end of step 4 :
2 • (x + 3) - (21 - 3x) = 0
Step 5 :
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
5x - 15 = 5 • (x - 3)
Equation at the end of step 6 :
5 • (x - 3) = 0
Step 7 :
Equations which are never true :
7.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
7.2 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
One solution was found :
x = 3How did we do?
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