x+3(x-1)-3(x-2)=x+6

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Solution for x+3(x-1)-3(x-2)=x+6 equation:


Simplifying
x + 3(x + -1) + -3(x + -2) = x + 6

Reorder the terms:
x + 3(-1 + x) + -3(x + -2) = x + 6
x + (-1 * 3 + x * 3) + -3(x + -2) = x + 6
x + (-3 + 3x) + -3(x + -2) = x + 6

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

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

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

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

Combine like terms: 4x + -3x = 1x
3 + 1x = x + 6

Reorder the terms:
3 + 1x = 6 + x

Solving
3 + 1x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 1x + -1x = 6 + x + -1x

Combine like terms: 1x + -1x = 0
3 + 0 = 6 + x + -1x
3 = 6 + x + -1x

Combine like terms: x + -1x = 0
3 = 6 + 0
3 = 6

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

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

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

Simplifying
0 = 3

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

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

The solution to this equation could not be determined.

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