2(23-x-2y)+2(23-x-7)=20

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Solution for 2(23-x-2y)+2(23-x-7)=20 equation:


Simplifying
2(23 + -1x + -2y) + 2(23 + -1x + -7) = 20
(23 * 2 + -1x * 2 + -2y * 2) + 2(23 + -1x + -7) = 20
(46 + -2x + -4y) + 2(23 + -1x + -7) = 20

Reorder the terms:
46 + -2x + -4y + 2(23 + -7 + -1x) = 20

Combine like terms: 23 + -7 = 16
46 + -2x + -4y + 2(16 + -1x) = 20
46 + -2x + -4y + (16 * 2 + -1x * 2) = 20
46 + -2x + -4y + (32 + -2x) = 20

Reorder the terms:
46 + 32 + -2x + -2x + -4y = 20

Combine like terms: 46 + 32 = 78
78 + -2x + -2x + -4y = 20

Combine like terms: -2x + -2x = -4x
78 + -4x + -4y = 20

Solving
78 + -4x + -4y = 20

Solving for variable 'x'.

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

Add '-78' to each side of the equation.
78 + -4x + -78 + -4y = 20 + -78

Reorder the terms:
78 + -78 + -4x + -4y = 20 + -78

Combine like terms: 78 + -78 = 0
0 + -4x + -4y = 20 + -78
-4x + -4y = 20 + -78

Combine like terms: 20 + -78 = -58
-4x + -4y = -58

Add '4y' to each side of the equation.
-4x + -4y + 4y = -58 + 4y

Combine like terms: -4y + 4y = 0
-4x + 0 = -58 + 4y
-4x = -58 + 4y

Divide each side by '-4'.
x = 14.5 + -1y

Simplifying
x = 14.5 + -1y

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