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

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


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

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

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

Solving
-4 + 6x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 6x + -3x = -3 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-4 + 3x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 3x = -3 + 0
-4 + 3x = -3

Add '4' to each side of the equation.
-4 + 4 + 3x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -3 + 4
3x = -3 + 4

Combine like terms: -3 + 4 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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