6-4(2X+5)=2-3X

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


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

Reorder the terms:
6 + -4(5 + 2X) = 2 + -3X
6 + (5 * -4 + 2X * -4) = 2 + -3X
6 + (-20 + -8X) = 2 + -3X

Combine like terms: 6 + -20 = -14
-14 + -8X = 2 + -3X

Solving
-14 + -8X = 2 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
-14 + -8X + 3X = 2 + -3X + 3X

Combine like terms: -8X + 3X = -5X
-14 + -5X = 2 + -3X + 3X

Combine like terms: -3X + 3X = 0
-14 + -5X = 2 + 0
-14 + -5X = 2

Add '14' to each side of the equation.
-14 + 14 + -5X = 2 + 14

Combine like terms: -14 + 14 = 0
0 + -5X = 2 + 14
-5X = 2 + 14

Combine like terms: 2 + 14 = 16
-5X = 16

Divide each side by '-5'.
X = -3.2

Simplifying
X = -3.2

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