3(3x-1)+11=2(6x+5)-8

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Solution for 3(3x-1)+11=2(6x+5)-8 equation: 


Simplifying
3(3x + -1) + 11 = 2(6x + 5) + -8

Reorder the terms:
3(-1 + 3x) + 11 = 2(6x + 5) + -8
(-1 * 3 + 3x * 3) + 11 = 2(6x + 5) + -8
(-3 + 9x) + 11 = 2(6x + 5) + -8

Reorder the terms:
-3 + 11 + 9x = 2(6x + 5) + -8

Combine like terms: -3 + 11 = 8
8 + 9x = 2(6x + 5) + -8

Reorder the terms:
8 + 9x = 2(5 + 6x) + -8
8 + 9x = (5 * 2 + 6x * 2) + -8
8 + 9x = (10 + 12x) + -8

Reorder the terms:
8 + 9x = 10 + -8 + 12x

Combine like terms: 10 + -8 = 2
8 + 9x = 2 + 12x

Solving
8 + 9x = 2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
8 + 9x + -12x = 2 + 12x + -12x

Combine like terms: 9x + -12x = -3x
8 + -3x = 2 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + -3x = 2 + 0
8 + -3x = 2

Add '-8' to each side of the equation.
8 + -8 + -3x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 2 + -8
-3x = 2 + -8

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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