(2x+6)-(5x+15)=-60

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Solution for (2x+6)-(5x+15)=-60 equation:


Simplifying
(2x + 6) + -1(5x + 15) = -60

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

Remove parenthesis around (6 + 2x)
6 + 2x + -1(5x + 15) = -60

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

Reorder the terms:
6 + -15 + 2x + -5x = -60

Combine like terms: 6 + -15 = -9
-9 + 2x + -5x = -60

Combine like terms: 2x + -5x = -3x
-9 + -3x = -60

Solving
-9 + -3x = -60

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -3x = -60 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = -60 + 9
-3x = -60 + 9

Combine like terms: -60 + 9 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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