3(2X-4)-8(3X-2)=14X

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Solution for 3(2X-4)-8(3X-2)=14X equation: 


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

Reorder the terms:
3(-4 + 2X) + -8(3X + -2) = 14X
(-4 * 3 + 2X * 3) + -8(3X + -2) = 14X
(-12 + 6X) + -8(3X + -2) = 14X

Reorder the terms:
-12 + 6X + -8(-2 + 3X) = 14X
-12 + 6X + (-2 * -8 + 3X * -8) = 14X
-12 + 6X + (16 + -24X) = 14X

Reorder the terms:
-12 + 16 + 6X + -24X = 14X

Combine like terms: -12 + 16 = 4
4 + 6X + -24X = 14X

Combine like terms: 6X + -24X = -18X
4 + -18X = 14X

Solving
4 + -18X = 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.
4 + -18X + -14X = 14X + -14X

Combine like terms: -18X + -14X = -32X
4 + -32X = 14X + -14X

Combine like terms: 14X + -14X = 0
4 + -32X = 0

Add '-4' to each side of the equation.
4 + -4 + -32X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -32X = 0 + -4
-32X = 0 + -4

Combine like terms: 0 + -4 = -4
-32X = -4

Divide each side by '-32'.
X = 0.125

Simplifying
X = 0.125

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