3(19x+20)=9(7+6x)-1

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Solution for 3(19x+20)=9(7+6x)-1 equation:


Simplifying
3(19x + 20) = 9(7 + 6x) + -1

Reorder the terms:
3(20 + 19x) = 9(7 + 6x) + -1
(20 * 3 + 19x * 3) = 9(7 + 6x) + -1
(60 + 57x) = 9(7 + 6x) + -1
60 + 57x = (7 * 9 + 6x * 9) + -1
60 + 57x = (63 + 54x) + -1

Reorder the terms:
60 + 57x = 63 + -1 + 54x

Combine like terms: 63 + -1 = 62
60 + 57x = 62 + 54x

Solving
60 + 57x = 62 + 54x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-54x' to each side of the equation.
60 + 57x + -54x = 62 + 54x + -54x

Combine like terms: 57x + -54x = 3x
60 + 3x = 62 + 54x + -54x

Combine like terms: 54x + -54x = 0
60 + 3x = 62 + 0
60 + 3x = 62

Add '-60' to each side of the equation.
60 + -60 + 3x = 62 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = 62 + -60
3x = 62 + -60

Combine like terms: 62 + -60 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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