6(6x+5)-14x=5x-55

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Solution for 6(6x+5)-14x=5x-55 equation:


Simplifying
6(6x + 5) + -14x = 5x + -55

Reorder the terms:
6(5 + 6x) + -14x = 5x + -55
(5 * 6 + 6x * 6) + -14x = 5x + -55
(30 + 36x) + -14x = 5x + -55

Combine like terms: 36x + -14x = 22x
30 + 22x = 5x + -55

Reorder the terms:
30 + 22x = -55 + 5x

Solving
30 + 22x = -55 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 22x + -5x = -55 + 5x + -5x

Combine like terms: 22x + -5x = 17x
30 + 17x = -55 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 17x = -55 + 0
30 + 17x = -55

Add '-30' to each side of the equation.
30 + -30 + 17x = -55 + -30

Combine like terms: 30 + -30 = 0
0 + 17x = -55 + -30
17x = -55 + -30

Combine like terms: -55 + -30 = -85
17x = -85

Divide each side by '17'.
x = -5

Simplifying
x = -5

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