(7x+1)+(6x-10)+(2y+74)+(2y+100)=360

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Solution for (7x+1)+(6x-10)+(2y+74)+(2y+100)=360 equation: 


Simplifying
(7x + 1) + (6x + -10) + (2y + 74) + (2y + 100) = 360

Reorder the terms:
(1 + 7x) + (6x + -10) + (2y + 74) + (2y + 100) = 360

Remove parenthesis around (1 + 7x)
1 + 7x + (6x + -10) + (2y + 74) + (2y + 100) = 360

Reorder the terms:
1 + 7x + (-10 + 6x) + (2y + 74) + (2y + 100) = 360

Remove parenthesis around (-10 + 6x)
1 + 7x + -10 + 6x + (2y + 74) + (2y + 100) = 360

Reorder the terms:
1 + 7x + -10 + 6x + (74 + 2y) + (2y + 100) = 360

Remove parenthesis around (74 + 2y)
1 + 7x + -10 + 6x + 74 + 2y + (2y + 100) = 360

Reorder the terms:
1 + 7x + -10 + 6x + 74 + 2y + (100 + 2y) = 360

Remove parenthesis around (100 + 2y)
1 + 7x + -10 + 6x + 74 + 2y + 100 + 2y = 360

Reorder the terms:
1 + -10 + 74 + 100 + 7x + 6x + 2y + 2y = 360

Combine like terms: 1 + -10 = -9
-9 + 74 + 100 + 7x + 6x + 2y + 2y = 360

Combine like terms: -9 + 74 = 65
65 + 100 + 7x + 6x + 2y + 2y = 360

Combine like terms: 65 + 100 = 165
165 + 7x + 6x + 2y + 2y = 360

Combine like terms: 7x + 6x = 13x
165 + 13x + 2y + 2y = 360

Combine like terms: 2y + 2y = 4y
165 + 13x + 4y = 360

Solving
165 + 13x + 4y = 360

Solving for variable 'x'.

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

Add '-165' to each side of the equation.
165 + 13x + -165 + 4y = 360 + -165

Reorder the terms:
165 + -165 + 13x + 4y = 360 + -165

Combine like terms: 165 + -165 = 0
0 + 13x + 4y = 360 + -165
13x + 4y = 360 + -165

Combine like terms: 360 + -165 = 195
13x + 4y = 195

Add '-4y' to each side of the equation.
13x + 4y + -4y = 195 + -4y

Combine like terms: 4y + -4y = 0
13x + 0 = 195 + -4y
13x = 195 + -4y

Divide each side by '13'.
x = 15 + -0.3076923077y

Simplifying
x = 15 + -0.3076923077y

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