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

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


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

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

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

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

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

Solving
-6 + X + 2x = -4 + 5x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X + 6 + 2x = -4 + 6 + 5x

Reorder the terms:
-6 + 6 + X + 2x = -4 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + X + 2x = -4 + 6 + 5x
X + 2x = -4 + 6 + 5x

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

Add '-2x' to each side of the equation.
X + 2x + -2x = 2 + 5x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 2 + 5x + -2x
X = 2 + 5x + -2x

Combine like terms: 5x + -2x = 3x
X = 2 + 3x

Simplifying
X = 2 + 3x

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