6x+(x+16)+(3x-1)+5x=360

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Solution for 6x+(x+16)+(3x-1)+5x=360 equation:


Simplifying
6x + (x + 16) + (3x + -1) + 5x = 360

Reorder the terms:
6x + (16 + x) + (3x + -1) + 5x = 360

Remove parenthesis around (16 + x)
6x + 16 + x + (3x + -1) + 5x = 360

Reorder the terms:
6x + 16 + x + (-1 + 3x) + 5x = 360

Remove parenthesis around (-1 + 3x)
6x + 16 + x + -1 + 3x + 5x = 360

Reorder the terms:
16 + -1 + 6x + x + 3x + 5x = 360

Combine like terms: 16 + -1 = 15
15 + 6x + x + 3x + 5x = 360

Combine like terms: 6x + x = 7x
15 + 7x + 3x + 5x = 360

Combine like terms: 7x + 3x = 10x
15 + 10x + 5x = 360

Combine like terms: 10x + 5x = 15x
15 + 15x = 360

Solving
15 + 15x = 360

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 15x = 360 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = 360 + -15
15x = 360 + -15

Combine like terms: 360 + -15 = 345
15x = 345

Divide each side by '15'.
x = 23

Simplifying
x = 23

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