0.25x+(x-10)+(x-40)+60=270

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Solution for 0.25x+(x-10)+(x-40)+60=270 equation:


Simplifying
0.25x + (x + -10) + (x + -40) + 60 = 270

Reorder the terms:
0.25x + (-10 + x) + (x + -40) + 60 = 270

Remove parenthesis around (-10 + x)
0.25x + -10 + x + (x + -40) + 60 = 270

Reorder the terms:
0.25x + -10 + x + (-40 + x) + 60 = 270

Remove parenthesis around (-40 + x)
0.25x + -10 + x + -40 + x + 60 = 270

Reorder the terms:
-10 + -40 + 60 + 0.25x + x + x = 270

Combine like terms: -10 + -40 = -50
-50 + 60 + 0.25x + x + x = 270

Combine like terms: -50 + 60 = 10
10 + 0.25x + x + x = 270

Combine like terms: 0.25x + x = 1.25x
10 + 1.25x + x = 270

Combine like terms: 1.25x + x = 2.25x
10 + 2.25x = 270

Solving
10 + 2.25x = 270

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2.25x = 270 + -10

Combine like terms: 10 + -10 = 0
0 + 2.25x = 270 + -10
2.25x = 270 + -10

Combine like terms: 270 + -10 = 260
2.25x = 260

Divide each side by '2.25'.
x = 115.5555556

Simplifying
x = 115.5555556

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