24(3x+2)=12(2x+5)-2(3(2x-7)-9(4x-1))

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


Simplifying
24(3x + 2) = 12(2x + 5) + -2(3(2x + -7) + -9(4x + -1))

Reorder the terms:
24(2 + 3x) = 12(2x + 5) + -2(3(2x + -7) + -9(4x + -1))
(2 * 24 + 3x * 24) = 12(2x + 5) + -2(3(2x + -7) + -9(4x + -1))
(48 + 72x) = 12(2x + 5) + -2(3(2x + -7) + -9(4x + -1))

Reorder the terms:
48 + 72x = 12(5 + 2x) + -2(3(2x + -7) + -9(4x + -1))
48 + 72x = (5 * 12 + 2x * 12) + -2(3(2x + -7) + -9(4x + -1))
48 + 72x = (60 + 24x) + -2(3(2x + -7) + -9(4x + -1))

Reorder the terms:
48 + 72x = 60 + 24x + -2(3(-7 + 2x) + -9(4x + -1))
48 + 72x = 60 + 24x + -2((-7 * 3 + 2x * 3) + -9(4x + -1))
48 + 72x = 60 + 24x + -2((-21 + 6x) + -9(4x + -1))

Reorder the terms:
48 + 72x = 60 + 24x + -2(-21 + 6x + -9(-1 + 4x))
48 + 72x = 60 + 24x + -2(-21 + 6x + (-1 * -9 + 4x * -9))
48 + 72x = 60 + 24x + -2(-21 + 6x + (9 + -36x))

Reorder the terms:
48 + 72x = 60 + 24x + -2(-21 + 9 + 6x + -36x)

Combine like terms: -21 + 9 = -12
48 + 72x = 60 + 24x + -2(-12 + 6x + -36x)

Combine like terms: 6x + -36x = -30x
48 + 72x = 60 + 24x + -2(-12 + -30x)
48 + 72x = 60 + 24x + (-12 * -2 + -30x * -2)
48 + 72x = 60 + 24x + (24 + 60x)

Reorder the terms:
48 + 72x = 60 + 24 + 24x + 60x

Combine like terms: 60 + 24 = 84
48 + 72x = 84 + 24x + 60x

Combine like terms: 24x + 60x = 84x
48 + 72x = 84 + 84x

Solving
48 + 72x = 84 + 84x

Solving for variable 'x'.

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

Add '-84x' to each side of the equation.
48 + 72x + -84x = 84 + 84x + -84x

Combine like terms: 72x + -84x = -12x
48 + -12x = 84 + 84x + -84x

Combine like terms: 84x + -84x = 0
48 + -12x = 84 + 0
48 + -12x = 84

Add '-48' to each side of the equation.
48 + -48 + -12x = 84 + -48

Combine like terms: 48 + -48 = 0
0 + -12x = 84 + -48
-12x = 84 + -48

Combine like terms: 84 + -48 = 36
-12x = 36

Divide each side by '-12'.
x = -3

Simplifying
x = -3

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