3(6x-5)-6x=2(7x+9)

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Solution for 3(6x-5)-6x=2(7x+9) equation:


Simplifying
3(6x + -5) + -6x = 2(7x + 9)

Reorder the terms:
3(-5 + 6x) + -6x = 2(7x + 9)
(-5 * 3 + 6x * 3) + -6x = 2(7x + 9)
(-15 + 18x) + -6x = 2(7x + 9)

Combine like terms: 18x + -6x = 12x
-15 + 12x = 2(7x + 9)

Reorder the terms:
-15 + 12x = 2(9 + 7x)
-15 + 12x = (9 * 2 + 7x * 2)
-15 + 12x = (18 + 14x)

Solving
-15 + 12x = 18 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-15 + 12x + -14x = 18 + 14x + -14x

Combine like terms: 12x + -14x = -2x
-15 + -2x = 18 + 14x + -14x

Combine like terms: 14x + -14x = 0
-15 + -2x = 18 + 0
-15 + -2x = 18

Add '15' to each side of the equation.
-15 + 15 + -2x = 18 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 18 + 15
-2x = 18 + 15

Combine like terms: 18 + 15 = 33
-2x = 33

Divide each side by '-2'.
x = -16.5

Simplifying
x = -16.5

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