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

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Solution for 6(x+3)-(x+2)=27 equation: 


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

Reorder the terms:
6(3 + x) + -1(x + 2) = 27
(3 * 6 + x * 6) + -1(x + 2) = 27
(18 + 6x) + -1(x + 2) = 27

Reorder the terms:
18 + 6x + -1(2 + x) = 27
18 + 6x + (2 * -1 + x * -1) = 27
18 + 6x + (-2 + -1x) = 27

Reorder the terms:
18 + -2 + 6x + -1x = 27

Combine like terms: 18 + -2 = 16
16 + 6x + -1x = 27

Combine like terms: 6x + -1x = 5x
16 + 5x = 27

Solving
16 + 5x = 27

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 27 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 27 + -16
5x = 27 + -16

Combine like terms: 27 + -16 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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