(3x+9)(4x-8)=(x-1)(12x+60)+132

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Solution for (3x+9)(4x-8)=(x-1)(12x+60)+132 equation:


Simplifying
(3x + 9)(4x + -8) = (x + -1)(12x + 60) + 132

Reorder the terms:
(9 + 3x)(4x + -8) = (x + -1)(12x + 60) + 132

Reorder the terms:
(9 + 3x)(-8 + 4x) = (x + -1)(12x + 60) + 132

Multiply (9 + 3x) * (-8 + 4x)
(9(-8 + 4x) + 3x * (-8 + 4x)) = (x + -1)(12x + 60) + 132
((-8 * 9 + 4x * 9) + 3x * (-8 + 4x)) = (x + -1)(12x + 60) + 132
((-72 + 36x) + 3x * (-8 + 4x)) = (x + -1)(12x + 60) + 132
(-72 + 36x + (-8 * 3x + 4x * 3x)) = (x + -1)(12x + 60) + 132
(-72 + 36x + (-24x + 12x2)) = (x + -1)(12x + 60) + 132

Combine like terms: 36x + -24x = 12x
(-72 + 12x + 12x2) = (x + -1)(12x + 60) + 132

Reorder the terms:
-72 + 12x + 12x2 = (-1 + x)(12x + 60) + 132

Reorder the terms:
-72 + 12x + 12x2 = (-1 + x)(60 + 12x) + 132

Multiply (-1 + x) * (60 + 12x)
-72 + 12x + 12x2 = (-1(60 + 12x) + x(60 + 12x)) + 132
-72 + 12x + 12x2 = ((60 * -1 + 12x * -1) + x(60 + 12x)) + 132
-72 + 12x + 12x2 = ((-60 + -12x) + x(60 + 12x)) + 132
-72 + 12x + 12x2 = (-60 + -12x + (60 * x + 12x * x)) + 132
-72 + 12x + 12x2 = (-60 + -12x + (60x + 12x2)) + 132

Combine like terms: -12x + 60x = 48x
-72 + 12x + 12x2 = (-60 + 48x + 12x2) + 132

Reorder the terms:
-72 + 12x + 12x2 = -60 + 132 + 48x + 12x2

Combine like terms: -60 + 132 = 72
-72 + 12x + 12x2 = 72 + 48x + 12x2

Add '-12x2' to each side of the equation.
-72 + 12x + 12x2 + -12x2 = 72 + 48x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-72 + 12x + 0 = 72 + 48x + 12x2 + -12x2
-72 + 12x = 72 + 48x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-72 + 12x = 72 + 48x + 0
-72 + 12x = 72 + 48x

Solving
-72 + 12x = 72 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-72 + 12x + -48x = 72 + 48x + -48x

Combine like terms: 12x + -48x = -36x
-72 + -36x = 72 + 48x + -48x

Combine like terms: 48x + -48x = 0
-72 + -36x = 72 + 0
-72 + -36x = 72

Add '72' to each side of the equation.
-72 + 72 + -36x = 72 + 72

Combine like terms: -72 + 72 = 0
0 + -36x = 72 + 72
-36x = 72 + 72

Combine like terms: 72 + 72 = 144
-36x = 144

Divide each side by '-36'.
x = -4

Simplifying
x = -4

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