3(x+18)+2(x+9)=x-54

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Solution for 3(x+18)+2(x+9)=x-54 equation: 


Simplifying
3(x + 18) + 2(x + 9) = x + -54

Reorder the terms:
3(18 + x) + 2(x + 9) = x + -54
(18 * 3 + x * 3) + 2(x + 9) = x + -54
(54 + 3x) + 2(x + 9) = x + -54

Reorder the terms:
54 + 3x + 2(9 + x) = x + -54
54 + 3x + (9 * 2 + x * 2) = x + -54
54 + 3x + (18 + 2x) = x + -54

Reorder the terms:
54 + 18 + 3x + 2x = x + -54

Combine like terms: 54 + 18 = 72
72 + 3x + 2x = x + -54

Combine like terms: 3x + 2x = 5x
72 + 5x = x + -54

Reorder the terms:
72 + 5x = -54 + x

Solving
72 + 5x = -54 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
72 + 5x + -1x = -54 + x + -1x

Combine like terms: 5x + -1x = 4x
72 + 4x = -54 + x + -1x

Combine like terms: x + -1x = 0
72 + 4x = -54 + 0
72 + 4x = -54

Add '-72' to each side of the equation.
72 + -72 + 4x = -54 + -72

Combine like terms: 72 + -72 = 0
0 + 4x = -54 + -72
4x = -54 + -72

Combine like terms: -54 + -72 = -126
4x = -126

Divide each side by '4'.
x = -31.5

Simplifying
x = -31.5

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