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

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


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

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

Combine like terms: 3x + 2x = 5x
-4 + 5x = 3(2x + -2)

Reorder the terms:
-4 + 5x = 3(-2 + 2x)
-4 + 5x = (-2 * 3 + 2x * 3)
-4 + 5x = (-6 + 6x)

Solving
-4 + 5x = -6 + 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.
-4 + 5x + -6x = -6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-4 + -1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -1x = -6 + 0
-4 + -1x = -6

Add '4' to each side of the equation.
-4 + 4 + -1x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -6 + 4
-1x = -6 + 4

Combine like terms: -6 + 4 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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