3x-5=-3(2x-6)+2x

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Solution for 3x-5=-3(2x-6)+2x equation:


Simplifying
3x + -5 = -3(2x + -6) + 2x

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

Reorder the terms:
-5 + 3x = -3(-6 + 2x) + 2x
-5 + 3x = (-6 * -3 + 2x * -3) + 2x
-5 + 3x = (18 + -6x) + 2x

Combine like terms: -6x + 2x = -4x
-5 + 3x = 18 + -4x

Solving
-5 + 3x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + 3x + 4x = 18 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-5 + 7x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 7x = 18 + 0
-5 + 7x = 18

Add '5' to each side of the equation.
-5 + 5 + 7x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 18 + 5
7x = 18 + 5

Combine like terms: 18 + 5 = 23
7x = 23

Divide each side by '7'.
x = 3.285714286

Simplifying
x = 3.285714286

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