3(x+2)-(y-7)=20

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Solution for 3(x+2)-(y-7)=20 equation: 


Simplifying
3(x + 2) + -1(y + -7) = 20

Reorder the terms:
3(2 + x) + -1(y + -7) = 20
(2 * 3 + x * 3) + -1(y + -7) = 20
(6 + 3x) + -1(y + -7) = 20

Reorder the terms:
6 + 3x + -1(-7 + y) = 20
6 + 3x + (-7 * -1 + y * -1) = 20
6 + 3x + (7 + -1y) = 20

Reorder the terms:
6 + 7 + 3x + -1y = 20

Combine like terms: 6 + 7 = 13
13 + 3x + -1y = 20

Solving
13 + 3x + -1y = 20

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + 3x + -13 + -1y = 20 + -13

Reorder the terms:
13 + -13 + 3x + -1y = 20 + -13

Combine like terms: 13 + -13 = 0
0 + 3x + -1y = 20 + -13
3x + -1y = 20 + -13

Combine like terms: 20 + -13 = 7
3x + -1y = 7

Add 'y' to each side of the equation.
3x + -1y + y = 7 + y

Combine like terms: -1y + y = 0
3x + 0 = 7 + y
3x = 7 + y

Divide each side by '3'.
x = 2.333333333 + 0.3333333333y

Simplifying
x = 2.333333333 + 0.3333333333y

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