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

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


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

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

Reorder the terms:
6 + -6x = -2(-3 + 2x)
6 + -6x = (-3 * -2 + 2x * -2)
6 + -6x = (6 + -4x)

Add '-6' to each side of the equation.
6 + -6 + -6x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0
0 + -6x = 6 + -6 + -4x
-6x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0
-6x = 0 + -4x
-6x = -4x

Solving
-6x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6x + 4x = -4x + 4x

Combine like terms: -6x + 4x = -2x
-2x = -4x + 4x

Combine like terms: -4x + 4x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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