120=1+x+2+x+3+x+4+x

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Solution for 120=1+x+2+x+3+x+4+x equation:


Simplifying
120 = 1 + x + 2 + x + 3 + x + 4 + x

Reorder the terms:
120 = 1 + 2 + 3 + 4 + x + x + x + x

Combine like terms: 1 + 2 = 3
120 = 3 + 3 + 4 + x + x + x + x

Combine like terms: 3 + 3 = 6
120 = 6 + 4 + x + x + x + x

Combine like terms: 6 + 4 = 10
120 = 10 + x + x + x + x

Combine like terms: x + x = 2x
120 = 10 + 2x + x + x

Combine like terms: 2x + x = 3x
120 = 10 + 3x + x

Combine like terms: 3x + x = 4x
120 = 10 + 4x

Solving
120 = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
120 + -4x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
120 + -4x = 10 + 0
120 + -4x = 10

Add '-120' to each side of the equation.
120 + -120 + -4x = 10 + -120

Combine like terms: 120 + -120 = 0
0 + -4x = 10 + -120
-4x = 10 + -120

Combine like terms: 10 + -120 = -110
-4x = -110

Divide each side by '-4'.
x = 27.5

Simplifying
x = 27.5

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