4x+2=2x-100

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


Simplifying
4x + 2 = 2x + -100

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

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

Solving
2 + 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.
2 + 4x + -2x = -100 + 2x + -2x

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

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

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

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

Combine like terms: -100 + -2 = -102
2x = -102

Divide each side by '2'.
x = -51

Simplifying
x = -51

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