2(x-3)=6(2x-1)

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Solution for 2(x-3)=6(2x-1) equation:


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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 2x = -6 + 6 + 12x
2x = -6 + 6 + 12x

Combine like terms: -6 + 6 = 0
2x = 0 + 12x
2x = 12x

Solving
2x = 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.
2x + -12x = 12x + -12x

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

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

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0

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