(3x-1)+(3x-1)+(5x+8)+(5x+8)=126

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Solution for (3x-1)+(3x-1)+(5x+8)+(5x+8)=126 equation: 


Simplifying
(3x + -1) + (3x + -1) + (5x + 8) + (5x + 8) = 126

Reorder the terms:
(-1 + 3x) + (3x + -1) + (5x + 8) + (5x + 8) = 126

Remove parenthesis around (-1 + 3x)
-1 + 3x + (3x + -1) + (5x + 8) + (5x + 8) = 126

Reorder the terms:
-1 + 3x + (-1 + 3x) + (5x + 8) + (5x + 8) = 126

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1 + 3x + (5x + 8) + (5x + 8) = 126

Reorder the terms:
-1 + 3x + -1 + 3x + (8 + 5x) + (5x + 8) = 126

Remove parenthesis around (8 + 5x)
-1 + 3x + -1 + 3x + 8 + 5x + (5x + 8) = 126

Reorder the terms:
-1 + 3x + -1 + 3x + 8 + 5x + (8 + 5x) = 126

Remove parenthesis around (8 + 5x)
-1 + 3x + -1 + 3x + 8 + 5x + 8 + 5x = 126

Reorder the terms:
-1 + -1 + 8 + 8 + 3x + 3x + 5x + 5x = 126

Combine like terms: -1 + -1 = -2
-2 + 8 + 8 + 3x + 3x + 5x + 5x = 126

Combine like terms: -2 + 8 = 6
6 + 8 + 3x + 3x + 5x + 5x = 126

Combine like terms: 6 + 8 = 14
14 + 3x + 3x + 5x + 5x = 126

Combine like terms: 3x + 3x = 6x
14 + 6x + 5x + 5x = 126

Combine like terms: 6x + 5x = 11x
14 + 11x + 5x = 126

Combine like terms: 11x + 5x = 16x
14 + 16x = 126

Solving
14 + 16x = 126

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 16x = 126 + -14

Combine like terms: 14 + -14 = 0
0 + 16x = 126 + -14
16x = 126 + -14

Combine like terms: 126 + -14 = 112
16x = 112

Divide each side by '16'.
x = 7

Simplifying
x = 7

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