2(x-2)-3(y+9)=60

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Solution for 2(x-2)-3(y+9)=60 equation:


Simplifying
2(x + -2) + -3(y + 9) = 60

Reorder the terms:
2(-2 + x) + -3(y + 9) = 60
(-2 * 2 + x * 2) + -3(y + 9) = 60
(-4 + 2x) + -3(y + 9) = 60

Reorder the terms:
-4 + 2x + -3(9 + y) = 60
-4 + 2x + (9 * -3 + y * -3) = 60
-4 + 2x + (-27 + -3y) = 60

Reorder the terms:
-4 + -27 + 2x + -3y = 60

Combine like terms: -4 + -27 = -31
-31 + 2x + -3y = 60

Solving
-31 + 2x + -3y = 60

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 2x + 31 + -3y = 60 + 31

Reorder the terms:
-31 + 31 + 2x + -3y = 60 + 31

Combine like terms: -31 + 31 = 0
0 + 2x + -3y = 60 + 31
2x + -3y = 60 + 31

Combine like terms: 60 + 31 = 91
2x + -3y = 91

Add '3y' to each side of the equation.
2x + -3y + 3y = 91 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 = 91 + 3y
2x = 91 + 3y

Divide each side by '2'.
x = 45.5 + 1.5y

Simplifying
x = 45.5 + 1.5y

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