(2x-67)+(x-23)+3x=360

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Solution for (2x-67)+(x-23)+3x=360 equation:


Simplifying
(2x + -67) + (x + -23) + 3x = 360

Reorder the terms:
(-67 + 2x) + (x + -23) + 3x = 360

Remove parenthesis around (-67 + 2x)
-67 + 2x + (x + -23) + 3x = 360

Reorder the terms:
-67 + 2x + (-23 + x) + 3x = 360

Remove parenthesis around (-23 + x)
-67 + 2x + -23 + x + 3x = 360

Reorder the terms:
-67 + -23 + 2x + x + 3x = 360

Combine like terms: -67 + -23 = -90
-90 + 2x + x + 3x = 360

Combine like terms: 2x + x = 3x
-90 + 3x + 3x = 360

Combine like terms: 3x + 3x = 6x
-90 + 6x = 360

Solving
-90 + 6x = 360

Solving for variable 'x'.

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

Add '90' to each side of the equation.
-90 + 90 + 6x = 360 + 90

Combine like terms: -90 + 90 = 0
0 + 6x = 360 + 90
6x = 360 + 90

Combine like terms: 360 + 90 = 450
6x = 450

Divide each side by '6'.
x = 75

Simplifying
x = 75

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