5-[2X-3*(1-2X)]=3X-13

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Solution for 5-[2X-3*(1-2X)]=3X-13 equation: 


Simplifying
5 + -1[2X + -3(1 + -2X)] = 3X + -13
5 + -1[2X + (1 * -3 + -2X * -3)] = 3X + -13
5 + -1[2X + (-3 + 6X)] = 3X + -13

Reorder the terms:
5 + -1[-3 + 2X + 6X] = 3X + -13

Combine like terms: 2X + 6X = 8X
5 + -1[-3 + 8X] = 3X + -13
5 + [-3 * -1 + 8X * -1] = 3X + -13
5 + [3 + -8X] = 3X + -13

Combine like terms: 5 + 3 = 8
8 + -8X = 3X + -13

Reorder the terms:
8 + -8X = -13 + 3X

Solving
8 + -8X = -13 + 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.
8 + -8X + -3X = -13 + 3X + -3X

Combine like terms: -8X + -3X = -11X
8 + -11X = -13 + 3X + -3X

Combine like terms: 3X + -3X = 0
8 + -11X = -13 + 0
8 + -11X = -13

Add '-8' to each side of the equation.
8 + -8 + -11X = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -11X = -13 + -8
-11X = -13 + -8

Combine like terms: -13 + -8 = -21
-11X = -21

Divide each side by '-11'.
X = 1.909090909

Simplifying
X = 1.909090909

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