2X+9(7-5X)-17(3-4X)=24(4X-1)-7(12X+6)

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Solution for 2X+9(7-5X)-17(3-4X)=24(4X-1)-7(12X+6) equation: 


Simplifying
2X + 9(7 + -5X) + -17(3 + -4X) = 24(4X + -1) + -7(12X + 6)
2X + (7 * 9 + -5X * 9) + -17(3 + -4X) = 24(4X + -1) + -7(12X + 6)
2X + (63 + -45X) + -17(3 + -4X) = 24(4X + -1) + -7(12X + 6)
2X + 63 + -45X + (3 * -17 + -4X * -17) = 24(4X + -1) + -7(12X + 6)
2X + 63 + -45X + (-51 + 68X) = 24(4X + -1) + -7(12X + 6)

Reorder the terms:
63 + -51 + 2X + -45X + 68X = 24(4X + -1) + -7(12X + 6)

Combine like terms: 63 + -51 = 12
12 + 2X + -45X + 68X = 24(4X + -1) + -7(12X + 6)

Combine like terms: 2X + -45X = -43X
12 + -43X + 68X = 24(4X + -1) + -7(12X + 6)

Combine like terms: -43X + 68X = 25X
12 + 25X = 24(4X + -1) + -7(12X + 6)

Reorder the terms:
12 + 25X = 24(-1 + 4X) + -7(12X + 6)
12 + 25X = (-1 * 24 + 4X * 24) + -7(12X + 6)
12 + 25X = (-24 + 96X) + -7(12X + 6)

Reorder the terms:
12 + 25X = -24 + 96X + -7(6 + 12X)
12 + 25X = -24 + 96X + (6 * -7 + 12X * -7)
12 + 25X = -24 + 96X + (-42 + -84X)

Reorder the terms:
12 + 25X = -24 + -42 + 96X + -84X

Combine like terms: -24 + -42 = -66
12 + 25X = -66 + 96X + -84X

Combine like terms: 96X + -84X = 12X
12 + 25X = -66 + 12X

Solving
12 + 25X = -66 + 12X

Solving for variable 'X'.

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

Add '-12X' to each side of the equation.
12 + 25X + -12X = -66 + 12X + -12X

Combine like terms: 25X + -12X = 13X
12 + 13X = -66 + 12X + -12X

Combine like terms: 12X + -12X = 0
12 + 13X = -66 + 0
12 + 13X = -66

Add '-12' to each side of the equation.
12 + -12 + 13X = -66 + -12

Combine like terms: 12 + -12 = 0
0 + 13X = -66 + -12
13X = -66 + -12

Combine like terms: -66 + -12 = -78
13X = -78

Divide each side by '13'.
X = -6

Simplifying
X = -6

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