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

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


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

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

Combine like terms: 3 + 3 = 6
(6 + x)(8x + -6) = 2(x + 8)(4x + 2) + -150

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

Multiply (6 + x) * (-6 + 8x)
(6(-6 + 8x) + x(-6 + 8x)) = 2(x + 8)(4x + 2) + -150
((-6 * 6 + 8x * 6) + x(-6 + 8x)) = 2(x + 8)(4x + 2) + -150
((-36 + 48x) + x(-6 + 8x)) = 2(x + 8)(4x + 2) + -150
(-36 + 48x + (-6 * x + 8x * x)) = 2(x + 8)(4x + 2) + -150
(-36 + 48x + (-6x + 8x2)) = 2(x + 8)(4x + 2) + -150

Combine like terms: 48x + -6x = 42x
(-36 + 42x + 8x2) = 2(x + 8)(4x + 2) + -150

Reorder the terms:
-36 + 42x + 8x2 = 2(8 + x)(4x + 2) + -150

Reorder the terms:
-36 + 42x + 8x2 = 2(8 + x)(2 + 4x) + -150

Multiply (8 + x) * (2 + 4x)
-36 + 42x + 8x2 = 2(8(2 + 4x) + x(2 + 4x)) + -150
-36 + 42x + 8x2 = 2((2 * 8 + 4x * 8) + x(2 + 4x)) + -150
-36 + 42x + 8x2 = 2((16 + 32x) + x(2 + 4x)) + -150
-36 + 42x + 8x2 = 2(16 + 32x + (2 * x + 4x * x)) + -150
-36 + 42x + 8x2 = 2(16 + 32x + (2x + 4x2)) + -150

Combine like terms: 32x + 2x = 34x
-36 + 42x + 8x2 = 2(16 + 34x + 4x2) + -150
-36 + 42x + 8x2 = (16 * 2 + 34x * 2 + 4x2 * 2) + -150
-36 + 42x + 8x2 = (32 + 68x + 8x2) + -150

Reorder the terms:
-36 + 42x + 8x2 = 32 + -150 + 68x + 8x2

Combine like terms: 32 + -150 = -118
-36 + 42x + 8x2 = -118 + 68x + 8x2

Add '-8x2' to each side of the equation.
-36 + 42x + 8x2 + -8x2 = -118 + 68x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-36 + 42x + 0 = -118 + 68x + 8x2 + -8x2
-36 + 42x = -118 + 68x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-36 + 42x = -118 + 68x + 0
-36 + 42x = -118 + 68x

Solving
-36 + 42x = -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.
-36 + 42x + -68x = -118 + 68x + -68x

Combine like terms: 42x + -68x = -26x
-36 + -26x = -118 + 68x + -68x

Combine like terms: 68x + -68x = 0
-36 + -26x = -118 + 0
-36 + -26x = -118

Add '36' to each side of the equation.
-36 + 36 + -26x = -118 + 36

Combine like terms: -36 + 36 = 0
0 + -26x = -118 + 36
-26x = -118 + 36

Combine like terms: -118 + 36 = -82
-26x = -82

Divide each side by '-26'.
x = 3.153846154

Simplifying
x = 3.153846154

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