11-9(x+3)-5=11+3(9+3x)-81

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Solution for 11-9(x+3)-5=11+3(9+3x)-81 equation:


Simplifying
11 + -9(x + 3) + -5 = 11 + 3(9 + 3x) + -81

Reorder the terms:
11 + -9(3 + x) + -5 = 11 + 3(9 + 3x) + -81
11 + (3 * -9 + x * -9) + -5 = 11 + 3(9 + 3x) + -81
11 + (-27 + -9x) + -5 = 11 + 3(9 + 3x) + -81

Reorder the terms:
11 + -27 + -5 + -9x = 11 + 3(9 + 3x) + -81

Combine like terms: 11 + -27 = -16
-16 + -5 + -9x = 11 + 3(9 + 3x) + -81

Combine like terms: -16 + -5 = -21
-21 + -9x = 11 + 3(9 + 3x) + -81
-21 + -9x = 11 + (9 * 3 + 3x * 3) + -81
-21 + -9x = 11 + (27 + 9x) + -81

Reorder the terms:
-21 + -9x = 11 + 27 + -81 + 9x

Combine like terms: 11 + 27 = 38
-21 + -9x = 38 + -81 + 9x

Combine like terms: 38 + -81 = -43
-21 + -9x = -43 + 9x

Solving
-21 + -9x = -43 + 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.
-21 + -9x + -9x = -43 + 9x + -9x

Combine like terms: -9x + -9x = -18x
-21 + -18x = -43 + 9x + -9x

Combine like terms: 9x + -9x = 0
-21 + -18x = -43 + 0
-21 + -18x = -43

Add '21' to each side of the equation.
-21 + 21 + -18x = -43 + 21

Combine like terms: -21 + 21 = 0
0 + -18x = -43 + 21
-18x = -43 + 21

Combine like terms: -43 + 21 = -22
-18x = -22

Divide each side by '-18'.
x = 1.222222222

Simplifying
x = 1.222222222

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