2x-3(2y-3)+2=31

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Solution for 2x-3(2y-3)+2=31 equation: 


Simplifying
2x + -3(2y + -3) + 2 = 31

Reorder the terms:
2x + -3(-3 + 2y) + 2 = 31
2x + (-3 * -3 + 2y * -3) + 2 = 31
2x + (9 + -6y) + 2 = 31

Reorder the terms:
9 + 2 + 2x + -6y = 31

Combine like terms: 9 + 2 = 11
11 + 2x + -6y = 31

Solving
11 + 2x + -6y = 31

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + 2x + -11 + -6y = 31 + -11

Reorder the terms:
11 + -11 + 2x + -6y = 31 + -11

Combine like terms: 11 + -11 = 0
0 + 2x + -6y = 31 + -11
2x + -6y = 31 + -11

Combine like terms: 31 + -11 = 20
2x + -6y = 20

Add '6y' to each side of the equation.
2x + -6y + 6y = 20 + 6y

Combine like terms: -6y + 6y = 0
2x + 0 = 20 + 6y
2x = 20 + 6y

Divide each side by '2'.
x = 10 + 3y

Simplifying
x = 10 + 3y

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