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

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


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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + 3x + 2x = 27

Combine like terms: 3x + 2x = 5x
-8 + 5x = 27

Solving
-8 + 5x = 27

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 27 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 27 + 8
5x = 27 + 8

Combine like terms: 27 + 8 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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