4x+500=2x+100

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Solution for 4x+500=2x+100 equation: 


Simplifying
4x + 500 = 2x + 100

Reorder the terms:
500 + 4x = 2x + 100

Reorder the terms:
500 + 4x = 100 + 2x

Solving
500 + 4x = 100 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
500 + 4x + -2x = 100 + 2x + -2x

Combine like terms: 4x + -2x = 2x
500 + 2x = 100 + 2x + -2x

Combine like terms: 2x + -2x = 0
500 + 2x = 100 + 0
500 + 2x = 100

Add '-500' to each side of the equation.
500 + -500 + 2x = 100 + -500

Combine like terms: 500 + -500 = 0
0 + 2x = 100 + -500
2x = 100 + -500

Combine like terms: 100 + -500 = -400
2x = -400

Divide each side by '2'.
x = -200

Simplifying
x = -200

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