4(6x-2)+2(14-4X)=3(5X+3)-8

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Solution for 4(6x-2)+2(14-4X)=3(5X+3)-8 equation: 


Simplifying
4(6x + -2) + 2(14 + -4X) = 3(5X + 3) + -8

Reorder the terms:
4(-2 + 6x) + 2(14 + -4X) = 3(5X + 3) + -8
(-2 * 4 + 6x * 4) + 2(14 + -4X) = 3(5X + 3) + -8
(-8 + 24x) + 2(14 + -4X) = 3(5X + 3) + -8
-8 + 24x + (14 * 2 + -4X * 2) = 3(5X + 3) + -8
-8 + 24x + (28 + -8X) = 3(5X + 3) + -8

Reorder the terms:
-8 + 28 + -8X + 24x = 3(5X + 3) + -8

Combine like terms: -8 + 28 = 20
20 + -8X + 24x = 3(5X + 3) + -8

Reorder the terms:
20 + -8X + 24x = 3(3 + 5X) + -8
20 + -8X + 24x = (3 * 3 + 5X * 3) + -8
20 + -8X + 24x = (9 + 15X) + -8

Reorder the terms:
20 + -8X + 24x = 9 + -8 + 15X

Combine like terms: 9 + -8 = 1
20 + -8X + 24x = 1 + 15X

Solving
20 + -8X + 24x = 1 + 15X

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
20 + -8X + -15X + 24x = 1 + 15X + -15X

Combine like terms: -8X + -15X = -23X
20 + -23X + 24x = 1 + 15X + -15X

Combine like terms: 15X + -15X = 0
20 + -23X + 24x = 1 + 0
20 + -23X + 24x = 1

Add '-20' to each side of the equation.
20 + -23X + -20 + 24x = 1 + -20

Reorder the terms:
20 + -20 + -23X + 24x = 1 + -20

Combine like terms: 20 + -20 = 0
0 + -23X + 24x = 1 + -20
-23X + 24x = 1 + -20

Combine like terms: 1 + -20 = -19
-23X + 24x = -19

Add '-24x' to each side of the equation.
-23X + 24x + -24x = -19 + -24x

Combine like terms: 24x + -24x = 0
-23X + 0 = -19 + -24x
-23X = -19 + -24x

Divide each side by '-23'.
X = 0.8260869565 + 1.043478261x

Simplifying
X = 0.8260869565 + 1.043478261x

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