3x-2=3(2x-1)-5

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Solution for 3x-2=3(2x-1)-5 equation:


Simplifying
3x + -2 = 3(2x + -1) + -5

Reorder the terms:
-2 + 3x = 3(2x + -1) + -5

Reorder the terms:
-2 + 3x = 3(-1 + 2x) + -5
-2 + 3x = (-1 * 3 + 2x * 3) + -5
-2 + 3x = (-3 + 6x) + -5

Reorder the terms:
-2 + 3x = -3 + -5 + 6x

Combine like terms: -3 + -5 = -8
-2 + 3x = -8 + 6x

Solving
-2 + 3x = -8 + 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.
-2 + 3x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-2 + -3x = -8 + 0
-2 + -3x = -8

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

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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