One solution was found :
x = -28/9 = -3.111
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-(x-7)+5/3-(2*(x+9))=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
5
((7 - x) + —) - 2 • (x + 9) = 0
3
Step 2 :
5
Simplify —
3
Equation at the end of step 2 :
5
((7 - x) + —) - 2 • (x + 9) = 0
3
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator :
7 - x (7 - x) • 3
7 - x = ————— = ———————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(7-x) • 3 + 5 26 - 3x
————————————— = ———————
3 3
Equation at the end of step 3 :
(26 - 3x)
————————— - 2 • (x + 9) = 0
3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
2 • (x + 9) 2 • (x + 9) • 3
2 • (x + 9) = ——————————— = ———————————————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
(26-3x) - (2 • (x+9) • 3) -9x - 28
————————————————————————— = ————————
3 3
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-9x - 28 = -1 • (9x + 28)
Equation at the end of step 5 :
-9x - 28
———————— = 0
3
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