2x-6=80-4x+20

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Solution for 2x-6=80-4x+20 equation:


Simplifying
2x + -6 = 80 + -4x + 20

Reorder the terms:
-6 + 2x = 80 + -4x + 20

Reorder the terms:
-6 + 2x = 80 + 20 + -4x

Combine like terms: 80 + 20 = 100
-6 + 2x = 100 + -4x

Solving
-6 + 2x = 100 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 2x + 4x = 100 + -4x + 4x

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

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

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

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

Combine like terms: 100 + 6 = 106
6x = 106

Divide each side by '6'.
x = 17.66666667

Simplifying
x = 17.66666667

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