-3(x-8)-5=9(x+2)11

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Solution for -3(x-8)-5=9(x+2)11 equation:


Simplifying
-3(x + -8) + -5 = 9(x + 2) * 11

Reorder the terms:
-3(-8 + x) + -5 = 9(x + 2) * 11
(-8 * -3 + x * -3) + -5 = 9(x + 2) * 11
(24 + -3x) + -5 = 9(x + 2) * 11

Reorder the terms:
24 + -5 + -3x = 9(x + 2) * 11

Combine like terms: 24 + -5 = 19
19 + -3x = 9(x + 2) * 11

Reorder the terms:
19 + -3x = 9(2 + x) * 11

Reorder the terms for easier multiplication:
19 + -3x = 9 * 11(2 + x)

Multiply 9 * 11
19 + -3x = 99(2 + x)
19 + -3x = (2 * 99 + x * 99)
19 + -3x = (198 + 99x)

Solving
19 + -3x = 198 + 99x

Solving for variable 'x'.

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

Add '-99x' to each side of the equation.
19 + -3x + -99x = 198 + 99x + -99x

Combine like terms: -3x + -99x = -102x
19 + -102x = 198 + 99x + -99x

Combine like terms: 99x + -99x = 0
19 + -102x = 198 + 0
19 + -102x = 198

Add '-19' to each side of the equation.
19 + -19 + -102x = 198 + -19

Combine like terms: 19 + -19 = 0
0 + -102x = 198 + -19
-102x = 198 + -19

Combine like terms: 198 + -19 = 179
-102x = 179

Divide each side by '-102'.
x = -1.754901961

Simplifying
x = -1.754901961

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