2(3x-4)-(4x-2)-4(x+10)=14x-20

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Solution for 2(3x-4)-(4x-2)-4(x+10)=14x-20 equation: 


Simplifying
2(3x + -4) + -1(4x + -2) + -4(x + 10) = 14x + -20

Reorder the terms:
2(-4 + 3x) + -1(4x + -2) + -4(x + 10) = 14x + -20
(-4 * 2 + 3x * 2) + -1(4x + -2) + -4(x + 10) = 14x + -20
(-8 + 6x) + -1(4x + -2) + -4(x + 10) = 14x + -20

Reorder the terms:
-8 + 6x + -1(-2 + 4x) + -4(x + 10) = 14x + -20
-8 + 6x + (-2 * -1 + 4x * -1) + -4(x + 10) = 14x + -20
-8 + 6x + (2 + -4x) + -4(x + 10) = 14x + -20

Reorder the terms:
-8 + 6x + 2 + -4x + -4(10 + x) = 14x + -20
-8 + 6x + 2 + -4x + (10 * -4 + x * -4) = 14x + -20
-8 + 6x + 2 + -4x + (-40 + -4x) = 14x + -20

Reorder the terms:
-8 + 2 + -40 + 6x + -4x + -4x = 14x + -20

Combine like terms: -8 + 2 = -6
-6 + -40 + 6x + -4x + -4x = 14x + -20

Combine like terms: -6 + -40 = -46
-46 + 6x + -4x + -4x = 14x + -20

Combine like terms: 6x + -4x = 2x
-46 + 2x + -4x = 14x + -20

Combine like terms: 2x + -4x = -2x
-46 + -2x = 14x + -20

Reorder the terms:
-46 + -2x = -20 + 14x

Solving
-46 + -2x = -20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-46 + -2x + -14x = -20 + 14x + -14x

Combine like terms: -2x + -14x = -16x
-46 + -16x = -20 + 14x + -14x

Combine like terms: 14x + -14x = 0
-46 + -16x = -20 + 0
-46 + -16x = -20

Add '46' to each side of the equation.
-46 + 46 + -16x = -20 + 46

Combine like terms: -46 + 46 = 0
0 + -16x = -20 + 46
-16x = -20 + 46

Combine like terms: -20 + 46 = 26
-16x = 26

Divide each side by '-16'.
x = -1.625

Simplifying
x = -1.625

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