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

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


Simplifying
3x + -6 + 6x = 3(6x + -5) + 6

Reorder the terms:
-6 + 3x + 6x = 3(6x + -5) + 6

Combine like terms: 3x + 6x = 9x
-6 + 9x = 3(6x + -5) + 6

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

Reorder the terms:
-6 + 9x = -15 + 6 + 18x

Combine like terms: -15 + 6 = -9
-6 + 9x = -9 + 18x

Solving
-6 + 9x = -9 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-6 + 9x + -18x = -9 + 18x + -18x

Combine like terms: 9x + -18x = -9x
-6 + -9x = -9 + 18x + -18x

Combine like terms: 18x + -18x = 0
-6 + -9x = -9 + 0
-6 + -9x = -9

Add '6' to each side of the equation.
-6 + 6 + -9x = -9 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = -9 + 6
-9x = -9 + 6

Combine like terms: -9 + 6 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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