Answer:
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Step-by-step explanation:
Simplifying
3x + 5 = 9x + -17
Reorder the terms:
5 + 3x = 9x + -17
Reorder the terms:
5 + 3x = -17 + 9x
Solving
5 + 3x = -17 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
5 + 3x + -9x = -17 + 9x + -9x
Combine like terms: 3x + -9x = -6x
5 + -6x = -17 + 9x + -9x
Combine like terms: 9x + -9x = 0
5 + -6x = -17 + 0
5 + -6x = -17
Add '-5' to each side of the equation.
5 + -5 + -6x = -17 + -5
Combine like terms: 5 + -5 = 0
0 + -6x = -17 + -5
-6x = -17 + -5
Combine like terms: -17 + -5 = -22
-6x = -22
Divide each side by '-6'.
x = 3.666666667
Simplifying
x = 3.666666667