3(x-4)-(y+8)=20

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Solution for 3(x-4)-(y+8)=20 equation: 


Simplifying
3(x + -4) + -1(y + 8) = 20

Reorder the terms:
3(-4 + x) + -1(y + 8) = 20
(-4 * 3 + x * 3) + -1(y + 8) = 20
(-12 + 3x) + -1(y + 8) = 20

Reorder the terms:
-12 + 3x + -1(8 + y) = 20
-12 + 3x + (8 * -1 + y * -1) = 20
-12 + 3x + (-8 + -1y) = 20

Reorder the terms:
-12 + -8 + 3x + -1y = 20

Combine like terms: -12 + -8 = -20
-20 + 3x + -1y = 20

Solving
-20 + 3x + -1y = 20

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 3x + 20 + -1y = 20 + 20

Reorder the terms:
-20 + 20 + 3x + -1y = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 3x + -1y = 20 + 20
3x + -1y = 20 + 20

Combine like terms: 20 + 20 = 40
3x + -1y = 40

Add 'y' to each side of the equation.
3x + -1y + y = 40 + y

Combine like terms: -1y + y = 0
3x + 0 = 40 + y
3x = 40 + y

Divide each side by '3'.
x = 13.33333333 + 0.3333333333y

Simplifying
x = 13.33333333 + 0.3333333333y

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