(6x-10)+(3x+3)+(3x-1)+(4x-16)=360

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Solution for (6x-10)+(3x+3)+(3x-1)+(4x-16)=360 equation:


Simplifying
(6x + -10) + (3x + 3) + (3x + -1) + (4x + -16) = 360

Reorder the terms:
(-10 + 6x) + (3x + 3) + (3x + -1) + (4x + -16) = 360

Remove parenthesis around (-10 + 6x)
-10 + 6x + (3x + 3) + (3x + -1) + (4x + -16) = 360

Reorder the terms:
-10 + 6x + (3 + 3x) + (3x + -1) + (4x + -16) = 360

Remove parenthesis around (3 + 3x)
-10 + 6x + 3 + 3x + (3x + -1) + (4x + -16) = 360

Reorder the terms:
-10 + 6x + 3 + 3x + (-1 + 3x) + (4x + -16) = 360

Remove parenthesis around (-1 + 3x)
-10 + 6x + 3 + 3x + -1 + 3x + (4x + -16) = 360

Reorder the terms:
-10 + 6x + 3 + 3x + -1 + 3x + (-16 + 4x) = 360

Remove parenthesis around (-16 + 4x)
-10 + 6x + 3 + 3x + -1 + 3x + -16 + 4x = 360

Reorder the terms:
-10 + 3 + -1 + -16 + 6x + 3x + 3x + 4x = 360

Combine like terms: -10 + 3 = -7
-7 + -1 + -16 + 6x + 3x + 3x + 4x = 360

Combine like terms: -7 + -1 = -8
-8 + -16 + 6x + 3x + 3x + 4x = 360

Combine like terms: -8 + -16 = -24
-24 + 6x + 3x + 3x + 4x = 360

Combine like terms: 6x + 3x = 9x
-24 + 9x + 3x + 4x = 360

Combine like terms: 9x + 3x = 12x
-24 + 12x + 4x = 360

Combine like terms: 12x + 4x = 16x
-24 + 16x = 360

Solving
-24 + 16x = 360

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 16x = 360 + 24

Combine like terms: -24 + 24 = 0
0 + 16x = 360 + 24
16x = 360 + 24

Combine like terms: 360 + 24 = 384
16x = 384

Divide each side by '16'.
x = 24

Simplifying
x = 24

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