(4X-2)*3-5*(3X+1)=0

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Solution for (4X-2)*3-5*(3X+1)=0 equation:


Simplifying
(4X + -2) * 3 + -5(3X + 1) = 0

Reorder the terms:
(-2 + 4X) * 3 + -5(3X + 1) = 0

Reorder the terms for easier multiplication:
3(-2 + 4X) + -5(3X + 1) = 0
(-2 * 3 + 4X * 3) + -5(3X + 1) = 0
(-6 + 12X) + -5(3X + 1) = 0

Reorder the terms:
-6 + 12X + -5(1 + 3X) = 0
-6 + 12X + (1 * -5 + 3X * -5) = 0
-6 + 12X + (-5 + -15X) = 0

Reorder the terms:
-6 + -5 + 12X + -15X = 0

Combine like terms: -6 + -5 = -11
-11 + 12X + -15X = 0

Combine like terms: 12X + -15X = -3X
-11 + -3X = 0

Solving
-11 + -3X = 0

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + 11 + -3X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3X = 0 + 11
-3X = 0 + 11

Combine like terms: 0 + 11 = 11
-3X = 11

Divide each side by '-3'.
X = -3.666666667

Simplifying
X = -3.666666667

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