6(x-2)-7(y+5)=60

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Solution for 6(x-2)-7(y+5)=60 equation: 


Simplifying
6(x + -2) + -7(y + 5) = 60

Reorder the terms:
6(-2 + x) + -7(y + 5) = 60
(-2 * 6 + x * 6) + -7(y + 5) = 60
(-12 + 6x) + -7(y + 5) = 60

Reorder the terms:
-12 + 6x + -7(5 + y) = 60
-12 + 6x + (5 * -7 + y * -7) = 60
-12 + 6x + (-35 + -7y) = 60

Reorder the terms:
-12 + -35 + 6x + -7y = 60

Combine like terms: -12 + -35 = -47
-47 + 6x + -7y = 60

Solving
-47 + 6x + -7y = 60

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 6x + 47 + -7y = 60 + 47

Reorder the terms:
-47 + 47 + 6x + -7y = 60 + 47

Combine like terms: -47 + 47 = 0
0 + 6x + -7y = 60 + 47
6x + -7y = 60 + 47

Combine like terms: 60 + 47 = 107
6x + -7y = 107

Add '7y' to each side of the equation.
6x + -7y + 7y = 107 + 7y

Combine like terms: -7y + 7y = 0
6x + 0 = 107 + 7y
6x = 107 + 7y

Divide each side by '6'.
x = 17.83333333 + 1.166666667y

Simplifying
x = 17.83333333 + 1.166666667y

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