2[7-6(1-x)]+9x=-32+6[6(x+1)-3x]

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Solution for 2[7-6(1-x)]+9x=-32+6[6(x+1)-3x] equation:


Simplifying
2[7 + -6(1 + -1x)] + 9x = -32 + 6[6(x + 1) + -3x]
2[7 + (1 * -6 + -1x * -6)] + 9x = -32 + 6[6(x + 1) + -3x]
2[7 + (-6 + 6x)] + 9x = -32 + 6[6(x + 1) + -3x]

Combine like terms: 7 + -6 = 1
2[1 + 6x] + 9x = -32 + 6[6(x + 1) + -3x]
[1 * 2 + 6x * 2] + 9x = -32 + 6[6(x + 1) + -3x]
[2 + 12x] + 9x = -32 + 6[6(x + 1) + -3x]

Combine like terms: 12x + 9x = 21x
2 + 21x = -32 + 6[6(x + 1) + -3x]

Reorder the terms:
2 + 21x = -32 + 6[6(1 + x) + -3x]
2 + 21x = -32 + 6[(1 * 6 + x * 6) + -3x]
2 + 21x = -32 + 6[(6 + 6x) + -3x]

Combine like terms: 6x + -3x = 3x
2 + 21x = -32 + 6[6 + 3x]
2 + 21x = -32 + [6 * 6 + 3x * 6]
2 + 21x = -32 + [36 + 18x]

Combine like terms: -32 + 36 = 4
2 + 21x = 4 + 18x

Solving
2 + 21x = 4 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
2 + 21x + -18x = 4 + 18x + -18x

Combine like terms: 21x + -18x = 3x
2 + 3x = 4 + 18x + -18x

Combine like terms: 18x + -18x = 0
2 + 3x = 4 + 0
2 + 3x = 4

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

Combine like terms: 2 + -2 = 0
0 + 3x = 4 + -2
3x = 4 + -2

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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