(x+3)(8x-6)=2(x+8)(4x+2)-150

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Solution for (x+3)(8x-6)=2(x+8)(4x+2)-150 equation: 


Simplifying
(x + 3)(8x + -6) = 2(x + 8)(4x + 2) + -150

Reorder the terms:
(3 + x)(8x + -6) = 2(x + 8)(4x + 2) + -150

Reorder the terms:
(3 + x)(-6 + 8x) = 2(x + 8)(4x + 2) + -150

Multiply (3 + x) * (-6 + 8x)
(3(-6 + 8x) + x(-6 + 8x)) = 2(x + 8)(4x + 2) + -150
((-6 * 3 + 8x * 3) + x(-6 + 8x)) = 2(x + 8)(4x + 2) + -150
((-18 + 24x) + x(-6 + 8x)) = 2(x + 8)(4x + 2) + -150
(-18 + 24x + (-6 * x + 8x * x)) = 2(x + 8)(4x + 2) + -150
(-18 + 24x + (-6x + 8x2)) = 2(x + 8)(4x + 2) + -150

Combine like terms: 24x + -6x = 18x
(-18 + 18x + 8x2) = 2(x + 8)(4x + 2) + -150

Reorder the terms:
-18 + 18x + 8x2 = 2(8 + x)(4x + 2) + -150

Reorder the terms:
-18 + 18x + 8x2 = 2(8 + x)(2 + 4x) + -150

Multiply (8 + x) * (2 + 4x)
-18 + 18x + 8x2 = 2(8(2 + 4x) + x(2 + 4x)) + -150
-18 + 18x + 8x2 = 2((2 * 8 + 4x * 8) + x(2 + 4x)) + -150
-18 + 18x + 8x2 = 2((16 + 32x) + x(2 + 4x)) + -150
-18 + 18x + 8x2 = 2(16 + 32x + (2 * x + 4x * x)) + -150
-18 + 18x + 8x2 = 2(16 + 32x + (2x + 4x2)) + -150

Combine like terms: 32x + 2x = 34x
-18 + 18x + 8x2 = 2(16 + 34x + 4x2) + -150
-18 + 18x + 8x2 = (16 * 2 + 34x * 2 + 4x2 * 2) + -150
-18 + 18x + 8x2 = (32 + 68x + 8x2) + -150

Reorder the terms:
-18 + 18x + 8x2 = 32 + -150 + 68x + 8x2

Combine like terms: 32 + -150 = -118
-18 + 18x + 8x2 = -118 + 68x + 8x2

Add '-8x2' to each side of the equation.
-18 + 18x + 8x2 + -8x2 = -118 + 68x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-18 + 18x + 0 = -118 + 68x + 8x2 + -8x2
-18 + 18x = -118 + 68x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-18 + 18x = -118 + 68x + 0
-18 + 18x = -118 + 68x

Solving
-18 + 18x = -118 + 68x

Solving for variable 'x'.

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

Add '-68x' to each side of the equation.
-18 + 18x + -68x = -118 + 68x + -68x

Combine like terms: 18x + -68x = -50x
-18 + -50x = -118 + 68x + -68x

Combine like terms: 68x + -68x = 0
-18 + -50x = -118 + 0
-18 + -50x = -118

Add '18' to each side of the equation.
-18 + 18 + -50x = -118 + 18

Combine like terms: -18 + 18 = 0
0 + -50x = -118 + 18
-50x = -118 + 18

Combine like terms: -118 + 18 = -100
-50x = -100

Divide each side by '-50'.
x = 2

Simplifying
x = 2

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