3(x+5)+6(2-x)=60

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Solution for 3(x+5)+6(2-x)=60 equation: 


Simplifying
3(x + 5) + 6(2 + -1x) = 60

Reorder the terms:
3(5 + x) + 6(2 + -1x) = 60
(5 * 3 + x * 3) + 6(2 + -1x) = 60
(15 + 3x) + 6(2 + -1x) = 60
15 + 3x + (2 * 6 + -1x * 6) = 60
15 + 3x + (12 + -6x) = 60

Reorder the terms:
15 + 12 + 3x + -6x = 60

Combine like terms: 15 + 12 = 27
27 + 3x + -6x = 60

Combine like terms: 3x + -6x = -3x
27 + -3x = 60

Solving
27 + -3x = 60

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -3x = 60 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 60 + -27
-3x = 60 + -27

Combine like terms: 60 + -27 = 33
-3x = 33

Divide each side by '-3'.
x = -11

Simplifying
x = -11

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