(2x+71)=(8x+5)

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Solution for (2x+71)=(8x+5) equation:


Simplifying
(2x + 71) = (8x + 5)

Reorder the terms:
(71 + 2x) = (8x + 5)

Remove parenthesis around (71 + 2x)
71 + 2x = (8x + 5)

Reorder the terms:
71 + 2x = (5 + 8x)

Remove parenthesis around (5 + 8x)
71 + 2x = 5 + 8x

Solving
71 + 2x = 5 + 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.
71 + 2x + -8x = 5 + 8x + -8x

Combine like terms: 2x + -8x = -6x
71 + -6x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
71 + -6x = 5 + 0
71 + -6x = 5

Add '-71' to each side of the equation.
71 + -71 + -6x = 5 + -71

Combine like terms: 71 + -71 = 0
0 + -6x = 5 + -71
-6x = 5 + -71

Combine like terms: 5 + -71 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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