Answer: x = 3/10 = 0.300
Step-by-step explanation:
Step 1 :
37
Simplify ——
10
Equation at the end of step 1 :
37 37
(—— • (-83x - 3)) - (—— • (7x - 30)) = 0
10 10
Step 3 :
37
Simplify ——
10
Equation at the end of step 3 :
37 37 • (7x - 30)
(—— • (-83x - 3)) - —————————————— = 0
10 10
Pulling out like terms :
5.1 Pull out like factors :
-83x - 3 = -1 • (83x + 3)
-37 • (83x + 3) 37 • (7x - 30)
——————————————— - —————————————— = 0
10 10
Adding fractions which have a common denominator :
6.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-37 • (83x+3) - (37 • (7x-30)) 999 - 3330x
—————————————————————————————— = ———————————
10 10
Pulling out like terms :
7.1 Pull out like factors :
999 - 3330x = -333 • (10x - 3)
When a fraction equals zero :
8.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-333•(10x-3)
———————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-333 • (10x-3) = 0
Equations which are never true :
8.2 Solve : -333 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
8.3 Solve : 10x-3 = 0
Add 3 to both sides of the equation :
10x = 3
Divide both sides of the equation by 10:
x = 3/10 = 0.300
x = 3/10 = 0.300
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