2(x-1)-3(2x+1)=27

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Solution for 2(x-1)-3(2x+1)=27 equation: 


Simplifying
2(x + -1) + -3(2x + 1) = 27

Reorder the terms:
2(-1 + x) + -3(2x + 1) = 27
(-1 * 2 + x * 2) + -3(2x + 1) = 27
(-2 + 2x) + -3(2x + 1) = 27

Reorder the terms:
-2 + 2x + -3(1 + 2x) = 27
-2 + 2x + (1 * -3 + 2x * -3) = 27
-2 + 2x + (-3 + -6x) = 27

Reorder the terms:
-2 + -3 + 2x + -6x = 27

Combine like terms: -2 + -3 = -5
-5 + 2x + -6x = 27

Combine like terms: 2x + -6x = -4x
-5 + -4x = 27

Solving
-5 + -4x = 27

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 27 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 27 + 5
-4x = 27 + 5

Combine like terms: 27 + 5 = 32
-4x = 32

Divide each side by '-4'.
x = -8

Simplifying
x = -8

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