2x+84=6x+40

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Solution for 2x+84=6x+40 equation:


Simplifying
2x + 84 = 6x + 40

Reorder the terms:
84 + 2x = 6x + 40

Reorder the terms:
84 + 2x = 40 + 6x

Solving
84 + 2x = 40 + 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.
84 + 2x + -6x = 40 + 6x + -6x

Combine like terms: 2x + -6x = -4x
84 + -4x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
84 + -4x = 40 + 0
84 + -4x = 40

Add '-84' to each side of the equation.
84 + -84 + -4x = 40 + -84

Combine like terms: 84 + -84 = 0
0 + -4x = 40 + -84
-4x = 40 + -84

Combine like terms: 40 + -84 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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