81+(20x-16)+(15x+30)+(16x+10)=360

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Solution for 81+(20x-16)+(15x+30)+(16x+10)=360 equation:


Simplifying
81 + (20x + -16) + (15x + 30) + (16x + 10) = 360

Reorder the terms:
81 + (-16 + 20x) + (15x + 30) + (16x + 10) = 360

Remove parenthesis around (-16 + 20x)
81 + -16 + 20x + (15x + 30) + (16x + 10) = 360

Reorder the terms:
81 + -16 + 20x + (30 + 15x) + (16x + 10) = 360

Remove parenthesis around (30 + 15x)
81 + -16 + 20x + 30 + 15x + (16x + 10) = 360

Reorder the terms:
81 + -16 + 20x + 30 + 15x + (10 + 16x) = 360

Remove parenthesis around (10 + 16x)
81 + -16 + 20x + 30 + 15x + 10 + 16x = 360

Reorder the terms:
81 + -16 + 30 + 10 + 20x + 15x + 16x = 360

Combine like terms: 81 + -16 = 65
65 + 30 + 10 + 20x + 15x + 16x = 360

Combine like terms: 65 + 30 = 95
95 + 10 + 20x + 15x + 16x = 360

Combine like terms: 95 + 10 = 105
105 + 20x + 15x + 16x = 360

Combine like terms: 20x + 15x = 35x
105 + 35x + 16x = 360

Combine like terms: 35x + 16x = 51x
105 + 51x = 360

Solving
105 + 51x = 360

Solving for variable 'x'.

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

Add '-105' to each side of the equation.
105 + -105 + 51x = 360 + -105

Combine like terms: 105 + -105 = 0
0 + 51x = 360 + -105
51x = 360 + -105

Combine like terms: 360 + -105 = 255
51x = 255

Divide each side by '51'.
x = 5

Simplifying
x = 5

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