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

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


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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 5x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + 5x = -6 + 6 + 4x
5x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
5x = 0 + 4x
5x = 4x

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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