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

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


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

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

Reorder the terms:
2 + 8X = 3(-3 + 2X)
2 + 8X = (-3 * 3 + 2X * 3)
2 + 8X = (-9 + 6X)

Solving
2 + 8X = -9 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
2 + 8X + -6X = -9 + 6X + -6X

Combine like terms: 8X + -6X = 2X
2 + 2X = -9 + 6X + -6X

Combine like terms: 6X + -6X = 0
2 + 2X = -9 + 0
2 + 2X = -9

Add '-2' to each side of the equation.
2 + -2 + 2X = -9 + -2

Combine like terms: 2 + -2 = 0
0 + 2X = -9 + -2
2X = -9 + -2

Combine like terms: -9 + -2 = -11
2X = -11

Divide each side by '2'.
X = -5.5

Simplifying
X = -5.5

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