3x+(4x-1)+105+(5x+4)=360

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Solution for 3x+(4x-1)+105+(5x+4)=360 equation:


Simplifying
3x + (4x + -1) + 105 + (5x + 4) = 360

Reorder the terms:
3x + (-1 + 4x) + 105 + (5x + 4) = 360

Remove parenthesis around (-1 + 4x)
3x + -1 + 4x + 105 + (5x + 4) = 360

Reorder the terms:
3x + -1 + 4x + 105 + (4 + 5x) = 360

Remove parenthesis around (4 + 5x)
3x + -1 + 4x + 105 + 4 + 5x = 360

Reorder the terms:
-1 + 105 + 4 + 3x + 4x + 5x = 360

Combine like terms: -1 + 105 = 104
104 + 4 + 3x + 4x + 5x = 360

Combine like terms: 104 + 4 = 108
108 + 3x + 4x + 5x = 360

Combine like terms: 3x + 4x = 7x
108 + 7x + 5x = 360

Combine like terms: 7x + 5x = 12x
108 + 12x = 360

Solving
108 + 12x = 360

Solving for variable 'x'.

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

Add '-108' to each side of the equation.
108 + -108 + 12x = 360 + -108

Combine like terms: 108 + -108 = 0
0 + 12x = 360 + -108
12x = 360 + -108

Combine like terms: 360 + -108 = 252
12x = 252

Divide each side by '12'.
x = 21

Simplifying
x = 21

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