9x+6(2x+11)=3(x+24)+6(x-1)

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Solution for 9x+6(2x+11)=3(x+24)+6(x-1) equation:


Simplifying
9x + 6(2x + 11) = 3(x + 24) + 6(x + -1)

Reorder the terms:
9x + 6(11 + 2x) = 3(x + 24) + 6(x + -1)
9x + (11 * 6 + 2x * 6) = 3(x + 24) + 6(x + -1)
9x + (66 + 12x) = 3(x + 24) + 6(x + -1)

Reorder the terms:
66 + 9x + 12x = 3(x + 24) + 6(x + -1)

Combine like terms: 9x + 12x = 21x
66 + 21x = 3(x + 24) + 6(x + -1)

Reorder the terms:
66 + 21x = 3(24 + x) + 6(x + -1)
66 + 21x = (24 * 3 + x * 3) + 6(x + -1)
66 + 21x = (72 + 3x) + 6(x + -1)

Reorder the terms:
66 + 21x = 72 + 3x + 6(-1 + x)
66 + 21x = 72 + 3x + (-1 * 6 + x * 6)
66 + 21x = 72 + 3x + (-6 + 6x)

Reorder the terms:
66 + 21x = 72 + -6 + 3x + 6x

Combine like terms: 72 + -6 = 66
66 + 21x = 66 + 3x + 6x

Combine like terms: 3x + 6x = 9x
66 + 21x = 66 + 9x

Add '-66' to each side of the equation.
66 + -66 + 21x = 66 + -66 + 9x

Combine like terms: 66 + -66 = 0
0 + 21x = 66 + -66 + 9x
21x = 66 + -66 + 9x

Combine like terms: 66 + -66 = 0
21x = 0 + 9x
21x = 9x

Solving
21x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21x + -9x = 9x + -9x

Combine like terms: 21x + -9x = 12x
12x = 9x + -9x

Combine like terms: 9x + -9x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0

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