2x-3+x+6=x+2x-3+x+2x-3

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


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

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

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

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

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

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

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

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

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

Solving
3 + 3x = -6 + 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.
3 + 3x + -6x = -6 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
3 + -3x = -6 + 0
3 + -3x = -6

Add '-3' to each side of the equation.
3 + -3 + -3x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + -3
-3x = -6 + -3

Combine like terms: -6 + -3 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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