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

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


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

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

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

Combine like terms: -3 + -5 = -8
-8 + 3x = 9(x + 2) + 1

Reorder the terms:
-8 + 3x = 9(2 + x) + 1
-8 + 3x = (2 * 9 + x * 9) + 1
-8 + 3x = (18 + 9x) + 1

Reorder the terms:
-8 + 3x = 18 + 1 + 9x

Combine like terms: 18 + 1 = 19
-8 + 3x = 19 + 9x

Solving
-8 + 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.
-8 + 3x + -9x = 19 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-8 + -6x = 19 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -6x = 19 + 0
-8 + -6x = 19

Add '8' to each side of the equation.
-8 + 8 + -6x = 19 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 19 + 8
-6x = 19 + 8

Combine like terms: 19 + 8 = 27
-6x = 27

Divide each side by '-6'.
x = -4.5

Simplifying
x = -4.5

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