(5x-2)+2y+x=42

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Solution for (5x-2)+2y+x=42 equation:


Simplifying
(5x + -2) + 2y + x = 42

Reorder the terms:
(-2 + 5x) + 2y + x = 42

Remove parenthesis around (-2 + 5x)
-2 + 5x + 2y + x = 42

Reorder the terms:
-2 + 5x + x + 2y = 42

Combine like terms: 5x + x = 6x
-2 + 6x + 2y = 42

Solving
-2 + 6x + 2y = 42

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 6x + 2 + 2y = 42 + 2

Reorder the terms:
-2 + 2 + 6x + 2y = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 6x + 2y = 42 + 2
6x + 2y = 42 + 2

Combine like terms: 42 + 2 = 44
6x + 2y = 44

Add '-2y' to each side of the equation.
6x + 2y + -2y = 44 + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = 44 + -2y
6x = 44 + -2y

Divide each side by '6'.
x = 7.333333333 + -0.3333333333y

Simplifying
x = 7.333333333 + -0.3333333333y

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