3(2x-1)=2(4x-4)

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Solution for 3(2x-1)=2(4x-4) equation:


Simplifying
3(2x + -1) = 2(4x + -4)

Reorder the terms:
3(-1 + 2x) = 2(4x + -4)
(-1 * 3 + 2x * 3) = 2(4x + -4)
(-3 + 6x) = 2(4x + -4)

Reorder the terms:
-3 + 6x = 2(-4 + 4x)
-3 + 6x = (-4 * 2 + 4x * 2)
-3 + 6x = (-8 + 8x)

Solving
-3 + 6x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 6x + -8x = -8 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-3 + -2x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -2x = -8 + 0
-3 + -2x = -8

Add '3' to each side of the equation.
-3 + 3 + -2x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -8 + 3
-2x = -8 + 3

Combine like terms: -8 + 3 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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