6(3x-2)-(3x-2)=0

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Solution for 6(3x-2)-(3x-2)=0 equation:


Simplifying
6(3x + -2) + -1(3x + -2) = 0

Reorder the terms:
6(-2 + 3x) + -1(3x + -2) = 0
(-2 * 6 + 3x * 6) + -1(3x + -2) = 0
(-12 + 18x) + -1(3x + -2) = 0

Reorder the terms:
-12 + 18x + -1(-2 + 3x) = 0
-12 + 18x + (-2 * -1 + 3x * -1) = 0
-12 + 18x + (2 + -3x) = 0

Reorder the terms:
-12 + 2 + 18x + -3x = 0

Combine like terms: -12 + 2 = -10
-10 + 18x + -3x = 0

Combine like terms: 18x + -3x = 15x
-10 + 15x = 0

Solving
-10 + 15x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 15x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 15x = 0 + 10
15x = 0 + 10

Combine like terms: 0 + 10 = 10
15x = 10

Divide each side by '15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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