2(x+6)+2y=114

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Solution for 2(x+6)+2y=114 equation:


Simplifying
2(x + 6) + 2y = 114

Reorder the terms:
2(6 + x) + 2y = 114
(6 * 2 + x * 2) + 2y = 114
(12 + 2x) + 2y = 114

Solving
12 + 2x + 2y = 114

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 2x + -12 + 2y = 114 + -12

Reorder the terms:
12 + -12 + 2x + 2y = 114 + -12

Combine like terms: 12 + -12 = 0
0 + 2x + 2y = 114 + -12
2x + 2y = 114 + -12

Combine like terms: 114 + -12 = 102
2x + 2y = 102

Add '-2y' to each side of the equation.
2x + 2y + -2y = 102 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 102 + -2y
2x = 102 + -2y

Divide each side by '2'.
x = 51 + -1y

Simplifying
x = 51 + -1y

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