2x+100=6x+84

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Solution for 2x+100=6x+84 equation:


Simplifying
2x + 100 = 6x + 84

Reorder the terms:
100 + 2x = 6x + 84

Reorder the terms:
100 + 2x = 84 + 6x

Solving
100 + 2x = 84 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
100 + 2x + -6x = 84 + 6x + -6x

Combine like terms: 2x + -6x = -4x
100 + -4x = 84 + 6x + -6x

Combine like terms: 6x + -6x = 0
100 + -4x = 84 + 0
100 + -4x = 84

Add '-100' to each side of the equation.
100 + -100 + -4x = 84 + -100

Combine like terms: 100 + -100 = 0
0 + -4x = 84 + -100
-4x = 84 + -100

Combine like terms: 84 + -100 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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