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

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


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

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

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

Combine like terms: -3 + 2 = -1
5x = -1 + 6x

Solving
5x = -1 + 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.
5x + -6x = -1 + 6x + -6x

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

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

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

Simplifying
x = 1

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