2x+84=8x+13

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Solution for 2x+84=8x+13 equation:


Simplifying
2x + 84 = 8x + 13

Reorder the terms:
84 + 2x = 8x + 13

Reorder the terms:
84 + 2x = 13 + 8x

Solving
84 + 2x = 13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
84 + 2x + -8x = 13 + 8x + -8x

Combine like terms: 2x + -8x = -6x
84 + -6x = 13 + 8x + -8x

Combine like terms: 8x + -8x = 0
84 + -6x = 13 + 0
84 + -6x = 13

Add '-84' to each side of the equation.
84 + -84 + -6x = 13 + -84

Combine like terms: 84 + -84 = 0
0 + -6x = 13 + -84
-6x = 13 + -84

Combine like terms: 13 + -84 = -71
-6x = -71

Divide each side by '-6'.
x = 11.83333333

Simplifying
x = 11.83333333

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