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

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


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

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

Combine like terms: 3x + x = 4x
27 + 4x = 2(x + 2) + -8

Reorder the terms:
27 + 4x = 2(2 + x) + -8
27 + 4x = (2 * 2 + x * 2) + -8
27 + 4x = (4 + 2x) + -8

Reorder the terms:
27 + 4x = 4 + -8 + 2x

Combine like terms: 4 + -8 = -4
27 + 4x = -4 + 2x

Solving
27 + 4x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
27 + 4x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
27 + 2x = -4 + 0
27 + 2x = -4

Add '-27' to each side of the equation.
27 + -27 + 2x = -4 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = -4 + -27
2x = -4 + -27

Combine like terms: -4 + -27 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5

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