(x+50)+(3x+50)+(4x+20)=360

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Solution for (x+50)+(3x+50)+(4x+20)=360 equation:


Simplifying
(x + 50) + (3x + 50) + (4x + 20) = 360

Reorder the terms:
(50 + x) + (3x + 50) + (4x + 20) = 360

Remove parenthesis around (50 + x)
50 + x + (3x + 50) + (4x + 20) = 360

Reorder the terms:
50 + x + (50 + 3x) + (4x + 20) = 360

Remove parenthesis around (50 + 3x)
50 + x + 50 + 3x + (4x + 20) = 360

Reorder the terms:
50 + x + 50 + 3x + (20 + 4x) = 360

Remove parenthesis around (20 + 4x)
50 + x + 50 + 3x + 20 + 4x = 360

Reorder the terms:
50 + 50 + 20 + x + 3x + 4x = 360

Combine like terms: 50 + 50 = 100
100 + 20 + x + 3x + 4x = 360

Combine like terms: 100 + 20 = 120
120 + x + 3x + 4x = 360

Combine like terms: x + 3x = 4x
120 + 4x + 4x = 360

Combine like terms: 4x + 4x = 8x
120 + 8x = 360

Solving
120 + 8x = 360

Solving for variable 'x'.

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

Add '-120' to each side of the equation.
120 + -120 + 8x = 360 + -120

Combine like terms: 120 + -120 = 0
0 + 8x = 360 + -120
8x = 360 + -120

Combine like terms: 360 + -120 = 240
8x = 240

Divide each side by '8'.
x = 30

Simplifying
x = 30

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