3x+11=9(x-1)+8

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Solution for 3x+11=9(x-1)+8 equation: 


Simplifying
3x + 11 = 9(x + -1) + 8

Reorder the terms:
11 + 3x = 9(x + -1) + 8

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

Reorder the terms:
11 + 3x = -9 + 8 + 9x

Combine like terms: -9 + 8 = -1
11 + 3x = -1 + 9x

Solving
11 + 3x = -1 + 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.
11 + 3x + -9x = -1 + 9x + -9x

Combine like terms: 3x + -9x = -6x
11 + -6x = -1 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -6x = -1 + 0
11 + -6x = -1

Add '-11' to each side of the equation.
11 + -11 + -6x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -1 + -11
-6x = -1 + -11

Combine like terms: -1 + -11 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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