(-5x+2y)+(3x+6y)=66+10

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Solution for (-5x+2y)+(3x+6y)=66+10 equation:


Simplifying
(-5x + 2y) + (3x + 6y) = 66 + 10

Remove parenthesis around (-5x + 2y)
-5x + 2y + (3x + 6y) = 66 + 10

Remove parenthesis around (3x + 6y)
-5x + 2y + 3x + 6y = 66 + 10

Reorder the terms:
-5x + 3x + 2y + 6y = 66 + 10

Combine like terms: -5x + 3x = -2x
-2x + 2y + 6y = 66 + 10

Combine like terms: 2y + 6y = 8y
-2x + 8y = 66 + 10

Combine like terms: 66 + 10 = 76
-2x + 8y = 76

Solving
-2x + 8y = 76

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
-2x + 8y + -8y = 76 + -8y

Combine like terms: 8y + -8y = 0
-2x + 0 = 76 + -8y
-2x = 76 + -8y

Divide each side by '-2'.
x = -38 + 4y

Simplifying
x = -38 + 4y

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