(4x-20)+(3y-20)=(y-4)+(2y-12)

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Solution for (4x-20)+(3y-20)=(y-4)+(2y-12) equation: 


Simplifying
(4x + -20) + (3y + -20) = (y + -4) + (2y + -12)

Reorder the terms:
(-20 + 4x) + (3y + -20) = (y + -4) + (2y + -12)

Remove parenthesis around (-20 + 4x)
-20 + 4x + (3y + -20) = (y + -4) + (2y + -12)

Reorder the terms:
-20 + 4x + (-20 + 3y) = (y + -4) + (2y + -12)

Remove parenthesis around (-20 + 3y)
-20 + 4x + -20 + 3y = (y + -4) + (2y + -12)

Reorder the terms:
-20 + -20 + 4x + 3y = (y + -4) + (2y + -12)

Combine like terms: -20 + -20 = -40
-40 + 4x + 3y = (y + -4) + (2y + -12)

Reorder the terms:
-40 + 4x + 3y = (-4 + y) + (2y + -12)

Remove parenthesis around (-4 + y)
-40 + 4x + 3y = -4 + y + (2y + -12)

Reorder the terms:
-40 + 4x + 3y = -4 + y + (-12 + 2y)

Remove parenthesis around (-12 + 2y)
-40 + 4x + 3y = -4 + y + -12 + 2y

Reorder the terms:
-40 + 4x + 3y = -4 + -12 + y + 2y

Combine like terms: -4 + -12 = -16
-40 + 4x + 3y = -16 + y + 2y

Combine like terms: y + 2y = 3y
-40 + 4x + 3y = -16 + 3y

Add '-3y' to each side of the equation.
-40 + 4x + 3y + -3y = -16 + 3y + -3y

Combine like terms: 3y + -3y = 0
-40 + 4x + 0 = -16 + 3y + -3y
-40 + 4x = -16 + 3y + -3y

Combine like terms: 3y + -3y = 0
-40 + 4x = -16 + 0
-40 + 4x = -16

Solving
-40 + 4x = -16

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 4x = -16 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = -16 + 40
4x = -16 + 40

Combine like terms: -16 + 40 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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