(100+4x)+(30x+10)+(40x-2)+(30x-10)=360

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Solution for (100+4x)+(30x+10)+(40x-2)+(30x-10)=360 equation: 


Simplifying
(100 + 4x) + (30x + 10) + (40x + -2) + (30x + -10) = 360

Remove parenthesis around (100 + 4x)
100 + 4x + (30x + 10) + (40x + -2) + (30x + -10) = 360

Reorder the terms:
100 + 4x + (10 + 30x) + (40x + -2) + (30x + -10) = 360

Remove parenthesis around (10 + 30x)
100 + 4x + 10 + 30x + (40x + -2) + (30x + -10) = 360

Reorder the terms:
100 + 4x + 10 + 30x + (-2 + 40x) + (30x + -10) = 360

Remove parenthesis around (-2 + 40x)
100 + 4x + 10 + 30x + -2 + 40x + (30x + -10) = 360

Reorder the terms:
100 + 4x + 10 + 30x + -2 + 40x + (-10 + 30x) = 360

Remove parenthesis around (-10 + 30x)
100 + 4x + 10 + 30x + -2 + 40x + -10 + 30x = 360

Reorder the terms:
100 + 10 + -2 + -10 + 4x + 30x + 40x + 30x = 360

Combine like terms: 100 + 10 = 110
110 + -2 + -10 + 4x + 30x + 40x + 30x = 360

Combine like terms: 110 + -2 = 108
108 + -10 + 4x + 30x + 40x + 30x = 360

Combine like terms: 108 + -10 = 98
98 + 4x + 30x + 40x + 30x = 360

Combine like terms: 4x + 30x = 34x
98 + 34x + 40x + 30x = 360

Combine like terms: 34x + 40x = 74x
98 + 74x + 30x = 360

Combine like terms: 74x + 30x = 104x
98 + 104x = 360

Solving
98 + 104x = 360

Solving for variable 'x'.

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

Add '-98' to each side of the equation.
98 + -98 + 104x = 360 + -98

Combine like terms: 98 + -98 = 0
0 + 104x = 360 + -98
104x = 360 + -98

Combine like terms: 360 + -98 = 262
104x = 262

Divide each side by '104'.
x = 2.519230769

Simplifying
x = 2.519230769

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