(x+25)+(x+250)=(4x-500)+(y)

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Solution for (x+25)+(x+250)=(4x-500)+(y) equation:


Simplifying
(x + 25) + (x + 250) = (4x + -500) + (y)

Reorder the terms:
(25 + x) + (x + 250) = (4x + -500) + (y)

Remove parenthesis around (25 + x)
25 + x + (x + 250) = (4x + -500) + (y)

Reorder the terms:
25 + x + (250 + x) = (4x + -500) + (y)

Remove parenthesis around (250 + x)
25 + x + 250 + x = (4x + -500) + (y)

Reorder the terms:
25 + 250 + x + x = (4x + -500) + (y)

Combine like terms: 25 + 250 = 275
275 + x + x = (4x + -500) + (y)

Combine like terms: x + x = 2x
275 + 2x = (4x + -500) + (y)

Reorder the terms:
275 + 2x = (-500 + 4x) + (y)

Remove parenthesis around (-500 + 4x)
275 + 2x = -500 + 4x + (y)
275 + 2x = -500 + 4x + y

Solving
275 + 2x = -500 + 4x + y

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.
275 + 2x + -4x = -500 + 4x + -4x + y

Combine like terms: 2x + -4x = -2x
275 + -2x = -500 + 4x + -4x + y

Combine like terms: 4x + -4x = 0
275 + -2x = -500 + 0 + y
275 + -2x = -500 + y

Add '-275' to each side of the equation.
275 + -275 + -2x = -500 + -275 + y

Combine like terms: 275 + -275 = 0
0 + -2x = -500 + -275 + y
-2x = -500 + -275 + y

Combine like terms: -500 + -275 = -775
-2x = -775 + y

Divide each side by '-2'.
x = 387.5 + -0.5y

Simplifying
x = 387.5 + -0.5y

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