3X+1=8(2X-4)

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Solution for 3X+1=8(2X-4) equation: 


Simplifying
3X + 1 = 8(2X + -4)

Reorder the terms:
1 + 3X = 8(2X + -4)

Reorder the terms:
1 + 3X = 8(-4 + 2X)
1 + 3X = (-4 * 8 + 2X * 8)
1 + 3X = (-32 + 16X)

Solving
1 + 3X = -32 + 16X

Solving for variable 'X'.

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

Add '-16X' to each side of the equation.
1 + 3X + -16X = -32 + 16X + -16X

Combine like terms: 3X + -16X = -13X
1 + -13X = -32 + 16X + -16X

Combine like terms: 16X + -16X = 0
1 + -13X = -32 + 0
1 + -13X = -32

Add '-1' to each side of the equation.
1 + -1 + -13X = -32 + -1

Combine like terms: 1 + -1 = 0
0 + -13X = -32 + -1
-13X = -32 + -1

Combine like terms: -32 + -1 = -33
-13X = -33

Divide each side by '-13'.
X = 2.538461538

Simplifying
X = 2.538461538

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