2x+6=5x-21+7x-39

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Solution for 2x+6=5x-21+7x-39 equation:


Simplifying
2x + 6 = 5x + -21 + 7x + -39

Reorder the terms:
6 + 2x = 5x + -21 + 7x + -39

Reorder the terms:
6 + 2x = -21 + -39 + 5x + 7x

Combine like terms: -21 + -39 = -60
6 + 2x = -60 + 5x + 7x

Combine like terms: 5x + 7x = 12x
6 + 2x = -60 + 12x

Solving
6 + 2x = -60 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 2x + -12x = -60 + 12x + -12x

Combine like terms: 2x + -12x = -10x
6 + -10x = -60 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -10x = -60 + 0
6 + -10x = -60

Add '-6' to each side of the equation.
6 + -6 + -10x = -60 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -60 + -6
-10x = -60 + -6

Combine like terms: -60 + -6 = -66
-10x = -66

Divide each side by '-10'.
x = 6.6

Simplifying
x = 6.6

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