3(x-8)-5=9(x+2)+1

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Solution for 3(x-8)-5=9(x+2)+1 equation: 


Simplifying
3(x + -8) + -5 = 9(x + 2) + 1

Reorder the terms:
3(-8 + x) + -5 = 9(x + 2) + 1
(-8 * 3 + x * 3) + -5 = 9(x + 2) + 1
(-24 + 3x) + -5 = 9(x + 2) + 1

Reorder the terms:
-24 + -5 + 3x = 9(x + 2) + 1

Combine like terms: -24 + -5 = -29
-29 + 3x = 9(x + 2) + 1

Reorder the terms:
-29 + 3x = 9(2 + x) + 1
-29 + 3x = (2 * 9 + x * 9) + 1
-29 + 3x = (18 + 9x) + 1

Reorder the terms:
-29 + 3x = 18 + 1 + 9x

Combine like terms: 18 + 1 = 19
-29 + 3x = 19 + 9x

Solving
-29 + 3x = 19 + 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.
-29 + 3x + -9x = 19 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-29 + -6x = 19 + 9x + -9x

Combine like terms: 9x + -9x = 0
-29 + -6x = 19 + 0
-29 + -6x = 19

Add '29' to each side of the equation.
-29 + 29 + -6x = 19 + 29

Combine like terms: -29 + 29 = 0
0 + -6x = 19 + 29
-6x = 19 + 29

Combine like terms: 19 + 29 = 48
-6x = 48

Divide each side by '-6'.
x = -8

Simplifying
x = -8

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