2(x-3)=(2x-4)3

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Solution for 2(x-3)=(2x-4)3 equation:


Simplifying
2(x + -3) = (2x + -4) * 3

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

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

Reorder the terms for easier multiplication:
-6 + 2x = 3(-4 + 2x)
-6 + 2x = (-4 * 3 + 2x * 3)
-6 + 2x = (-12 + 6x)

Solving
-6 + 2x = -12 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -6x = -4x
-6 + -4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = -12 + 0
-6 + -4x = -12

Add '6' to each side of the equation.
-6 + 6 + -4x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -12 + 6
-4x = -12 + 6

Combine like terms: -12 + 6 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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