(2y+14)+(4x+48)+(x+7y+6)=180

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Solution for (2y+14)+(4x+48)+(x+7y+6)=180 equation:


Simplifying
(2y + 14) + (4x + 48) + (x + 7y + 6) = 180

Reorder the terms:
(14 + 2y) + (4x + 48) + (x + 7y + 6) = 180

Remove parenthesis around (14 + 2y)
14 + 2y + (4x + 48) + (x + 7y + 6) = 180

Reorder the terms:
14 + 2y + (48 + 4x) + (x + 7y + 6) = 180

Remove parenthesis around (48 + 4x)
14 + 2y + 48 + 4x + (x + 7y + 6) = 180

Reorder the terms:
14 + 2y + 48 + 4x + (6 + x + 7y) = 180

Remove parenthesis around (6 + x + 7y)
14 + 2y + 48 + 4x + 6 + x + 7y = 180

Reorder the terms:
14 + 48 + 6 + 4x + x + 2y + 7y = 180

Combine like terms: 14 + 48 = 62
62 + 6 + 4x + x + 2y + 7y = 180

Combine like terms: 62 + 6 = 68
68 + 4x + x + 2y + 7y = 180

Combine like terms: 4x + x = 5x
68 + 5x + 2y + 7y = 180

Combine like terms: 2y + 7y = 9y
68 + 5x + 9y = 180

Solving
68 + 5x + 9y = 180

Solving for variable 'x'.

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

Add '-68' to each side of the equation.
68 + 5x + -68 + 9y = 180 + -68

Reorder the terms:
68 + -68 + 5x + 9y = 180 + -68

Combine like terms: 68 + -68 = 0
0 + 5x + 9y = 180 + -68
5x + 9y = 180 + -68

Combine like terms: 180 + -68 = 112
5x + 9y = 112

Add '-9y' to each side of the equation.
5x + 9y + -9y = 112 + -9y

Combine like terms: 9y + -9y = 0
5x + 0 = 112 + -9y
5x = 112 + -9y

Divide each side by '5'.
x = 22.4 + -1.8y

Simplifying
x = 22.4 + -1.8y

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