(3y+1)+(6x-13)+(8x-61)=180

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Solution for (3y+1)+(6x-13)+(8x-61)=180 equation:


Simplifying
(3y + 1) + (6x + -13) + (8x + -61) = 180

Reorder the terms:
(1 + 3y) + (6x + -13) + (8x + -61) = 180

Remove parenthesis around (1 + 3y)
1 + 3y + (6x + -13) + (8x + -61) = 180

Reorder the terms:
1 + 3y + (-13 + 6x) + (8x + -61) = 180

Remove parenthesis around (-13 + 6x)
1 + 3y + -13 + 6x + (8x + -61) = 180

Reorder the terms:
1 + 3y + -13 + 6x + (-61 + 8x) = 180

Remove parenthesis around (-61 + 8x)
1 + 3y + -13 + 6x + -61 + 8x = 180

Reorder the terms:
1 + -13 + -61 + 6x + 8x + 3y = 180

Combine like terms: 1 + -13 = -12
-12 + -61 + 6x + 8x + 3y = 180

Combine like terms: -12 + -61 = -73
-73 + 6x + 8x + 3y = 180

Combine like terms: 6x + 8x = 14x
-73 + 14x + 3y = 180

Solving
-73 + 14x + 3y = 180

Solving for variable 'x'.

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

Add '73' to each side of the equation.
-73 + 14x + 73 + 3y = 180 + 73

Reorder the terms:
-73 + 73 + 14x + 3y = 180 + 73

Combine like terms: -73 + 73 = 0
0 + 14x + 3y = 180 + 73
14x + 3y = 180 + 73

Combine like terms: 180 + 73 = 253
14x + 3y = 253

Add '-3y' to each side of the equation.
14x + 3y + -3y = 253 + -3y

Combine like terms: 3y + -3y = 0
14x + 0 = 253 + -3y
14x = 253 + -3y

Divide each side by '14'.
x = 18.07142857 + -0.2142857143y

Simplifying
x = 18.07142857 + -0.2142857143y

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