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

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


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

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

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

Remove parenthesis around (5x)
2 + 2X + -3x = 3 * 5x

Multiply 3 * 5
2 + 2X + -3x = 15x

Solving
2 + 2X + -3x = 15x

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + 2X + -2 + -3x = -2 + 15x

Reorder the terms:
2 + -2 + 2X + -3x = -2 + 15x

Combine like terms: 2 + -2 = 0
0 + 2X + -3x = -2 + 15x
2X + -3x = -2 + 15x

Add '3x' to each side of the equation.
2X + -3x + 3x = -2 + 15x + 3x

Combine like terms: -3x + 3x = 0
2X + 0 = -2 + 15x + 3x
2X = -2 + 15x + 3x

Combine like terms: 15x + 3x = 18x
2X = -2 + 18x

Divide each side by '2'.
X = -1 + 9x

Simplifying
X = -1 + 9x

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