6x-36=2x+84

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Solution for 6x-36=2x+84 equation:


Simplifying
6x + -36 = 2x + 84

Reorder the terms:
-36 + 6x = 2x + 84

Reorder the terms:
-36 + 6x = 84 + 2x

Solving
-36 + 6x = 84 + 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.
-36 + 6x + -2x = 84 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-36 + 4x = 84 + 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + 4x = 84 + 0
-36 + 4x = 84

Add '36' to each side of the equation.
-36 + 36 + 4x = 84 + 36

Combine like terms: -36 + 36 = 0
0 + 4x = 84 + 36
4x = 84 + 36

Combine like terms: 84 + 36 = 120
4x = 120

Divide each side by '4'.
x = 30

Simplifying
x = 30

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