2[x-3(x-1)]+3=x-3(x+1)

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


Simplifying
2[x + -3(x + -1)] + 3 = x + -3(x + 1)

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

Reorder the terms:
2[3 + x + -3x] + 3 = x + -3(x + 1)

Combine like terms: x + -3x = -2x
2[3 + -2x] + 3 = x + -3(x + 1)
[3 * 2 + -2x * 2] + 3 = x + -3(x + 1)
[6 + -4x] + 3 = x + -3(x + 1)

Reorder the terms:
6 + 3 + -4x = x + -3(x + 1)

Combine like terms: 6 + 3 = 9
9 + -4x = x + -3(x + 1)

Reorder the terms:
9 + -4x = x + -3(1 + x)
9 + -4x = x + (1 * -3 + x * -3)
9 + -4x = x + (-3 + -3x)

Reorder the terms:
9 + -4x = -3 + x + -3x

Combine like terms: x + -3x = -2x
9 + -4x = -3 + -2x

Solving
9 + -4x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + -4x + 2x = -3 + -2x + 2x

Combine like terms: -4x + 2x = -2x
9 + -2x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + -2x = -3 + 0
9 + -2x = -3

Add '-9' to each side of the equation.
9 + -9 + -2x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -3 + -9
-2x = -3 + -9

Combine like terms: -3 + -9 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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