(100+4x)+(30x+10)+(40x-2)+(183-5x)=360

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Solution for (100+4x)+(30x+10)+(40x-2)+(183-5x)=360 equation:


Simplifying
(100 + 4x) + (30x + 10) + (40x + -2) + (183 + -5x) = 360

Remove parenthesis around (100 + 4x)
100 + 4x + (30x + 10) + (40x + -2) + (183 + -5x) = 360

Reorder the terms:
100 + 4x + (10 + 30x) + (40x + -2) + (183 + -5x) = 360

Remove parenthesis around (10 + 30x)
100 + 4x + 10 + 30x + (40x + -2) + (183 + -5x) = 360

Reorder the terms:
100 + 4x + 10 + 30x + (-2 + 40x) + (183 + -5x) = 360

Remove parenthesis around (-2 + 40x)
100 + 4x + 10 + 30x + -2 + 40x + (183 + -5x) = 360

Remove parenthesis around (183 + -5x)
100 + 4x + 10 + 30x + -2 + 40x + 183 + -5x = 360

Reorder the terms:
100 + 10 + -2 + 183 + 4x + 30x + 40x + -5x = 360

Combine like terms: 100 + 10 = 110
110 + -2 + 183 + 4x + 30x + 40x + -5x = 360

Combine like terms: 110 + -2 = 108
108 + 183 + 4x + 30x + 40x + -5x = 360

Combine like terms: 108 + 183 = 291
291 + 4x + 30x + 40x + -5x = 360

Combine like terms: 4x + 30x = 34x
291 + 34x + 40x + -5x = 360

Combine like terms: 34x + 40x = 74x
291 + 74x + -5x = 360

Combine like terms: 74x + -5x = 69x
291 + 69x = 360

Solving
291 + 69x = 360

Solving for variable 'x'.

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

Add '-291' to each side of the equation.
291 + -291 + 69x = 360 + -291

Combine like terms: 291 + -291 = 0
0 + 69x = 360 + -291
69x = 360 + -291

Combine like terms: 360 + -291 = 69
69x = 69

Divide each side by '69'.
x = 1

Simplifying
x = 1

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