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

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


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

Reorder the terms:
3(-9 + x) = 8(x + 2) + 2
(-9 * 3 + x * 3) = 8(x + 2) + 2
(-27 + 3x) = 8(x + 2) + 2

Reorder the terms:
-27 + 3x = 8(2 + x) + 2
-27 + 3x = (2 * 8 + x * 8) + 2
-27 + 3x = (16 + 8x) + 2

Reorder the terms:
-27 + 3x = 16 + 2 + 8x

Combine like terms: 16 + 2 = 18
-27 + 3x = 18 + 8x

Solving
-27 + 3x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-27 + 3x + -8x = 18 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-27 + -5x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + -5x = 18 + 0
-27 + -5x = 18

Add '27' to each side of the equation.
-27 + 27 + -5x = 18 + 27

Combine like terms: -27 + 27 = 0
0 + -5x = 18 + 27
-5x = 18 + 27

Combine like terms: 18 + 27 = 45
-5x = 45

Divide each side by '-5'.
x = -9

Simplifying
x = -9

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