2x+4x(2x-10)+6(x-3)=2(x-2)(4x-11)-20

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Solution for 2x+4x(2x-10)+6(x-3)=2(x-2)(4x-11)-20 equation: 


Simplifying
2x + 4x(2x + -10) + 6(x + -3) = 2(x + -2)(4x + -11) + -20

Reorder the terms:
2x + 4x(-10 + 2x) + 6(x + -3) = 2(x + -2)(4x + -11) + -20
2x + (-10 * 4x + 2x * 4x) + 6(x + -3) = 2(x + -2)(4x + -11) + -20
2x + (-40x + 8x2) + 6(x + -3) = 2(x + -2)(4x + -11) + -20

Reorder the terms:
2x + -40x + 8x2 + 6(-3 + x) = 2(x + -2)(4x + -11) + -20
2x + -40x + 8x2 + (-3 * 6 + x * 6) = 2(x + -2)(4x + -11) + -20
2x + -40x + 8x2 + (-18 + 6x) = 2(x + -2)(4x + -11) + -20

Reorder the terms:
-18 + 2x + -40x + 6x + 8x2 = 2(x + -2)(4x + -11) + -20

Combine like terms: 2x + -40x = -38x
-18 + -38x + 6x + 8x2 = 2(x + -2)(4x + -11) + -20

Combine like terms: -38x + 6x = -32x
-18 + -32x + 8x2 = 2(x + -2)(4x + -11) + -20

Reorder the terms:
-18 + -32x + 8x2 = 2(-2 + x)(4x + -11) + -20

Reorder the terms:
-18 + -32x + 8x2 = 2(-2 + x)(-11 + 4x) + -20

Multiply (-2 + x) * (-11 + 4x)
-18 + -32x + 8x2 = 2(-2(-11 + 4x) + x(-11 + 4x)) + -20
-18 + -32x + 8x2 = 2((-11 * -2 + 4x * -2) + x(-11 + 4x)) + -20
-18 + -32x + 8x2 = 2((22 + -8x) + x(-11 + 4x)) + -20
-18 + -32x + 8x2 = 2(22 + -8x + (-11 * x + 4x * x)) + -20
-18 + -32x + 8x2 = 2(22 + -8x + (-11x + 4x2)) + -20

Combine like terms: -8x + -11x = -19x
-18 + -32x + 8x2 = 2(22 + -19x + 4x2) + -20
-18 + -32x + 8x2 = (22 * 2 + -19x * 2 + 4x2 * 2) + -20
-18 + -32x + 8x2 = (44 + -38x + 8x2) + -20

Reorder the terms:
-18 + -32x + 8x2 = 44 + -20 + -38x + 8x2

Combine like terms: 44 + -20 = 24
-18 + -32x + 8x2 = 24 + -38x + 8x2

Add '-8x2' to each side of the equation.
-18 + -32x + 8x2 + -8x2 = 24 + -38x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-18 + -32x + 0 = 24 + -38x + 8x2 + -8x2
-18 + -32x = 24 + -38x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-18 + -32x = 24 + -38x + 0
-18 + -32x = 24 + -38x

Solving
-18 + -32x = 24 + -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
-18 + -32x + 38x = 24 + -38x + 38x

Combine like terms: -32x + 38x = 6x
-18 + 6x = 24 + -38x + 38x

Combine like terms: -38x + 38x = 0
-18 + 6x = 24 + 0
-18 + 6x = 24

Add '18' to each side of the equation.
-18 + 18 + 6x = 24 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 24 + 18
6x = 24 + 18

Combine like terms: 24 + 18 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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