40x-500=2x-(250-2x)-250

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Solution for 40x-500=2x-(250-2x)-250 equation:


Simplifying
40x + -500 = 2x + -1(250 + -2x) + -250

Reorder the terms:
-500 + 40x = 2x + -1(250 + -2x) + -250
-500 + 40x = 2x + (250 * -1 + -2x * -1) + -250
-500 + 40x = 2x + (-250 + 2x) + -250

Reorder the terms:
-500 + 40x = -250 + -250 + 2x + 2x

Combine like terms: -250 + -250 = -500
-500 + 40x = -500 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-500 + 40x = -500 + 4x

Add '500' to each side of the equation.
-500 + 500 + 40x = -500 + 500 + 4x

Combine like terms: -500 + 500 = 0
0 + 40x = -500 + 500 + 4x
40x = -500 + 500 + 4x

Combine like terms: -500 + 500 = 0
40x = 0 + 4x
40x = 4x

Solving
40x = 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.
40x + -4x = 4x + -4x

Combine like terms: 40x + -4x = 36x
36x = 4x + -4x

Combine like terms: 4x + -4x = 0
36x = 0

Divide each side by '36'.
x = 0

Simplifying
x = 0

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