5X-2(2X-7)=(3X-1)+72

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Solution for 5X-2(2X-7)=(3X-1)+72 equation:


Simplifying
5X + -2(2X + -7) = (3X + -1) + 72

Reorder the terms:
5X + -2(-7 + 2X) = (3X + -1) + 72
5X + (-7 * -2 + 2X * -2) = (3X + -1) + 72
5X + (14 + -4X) = (3X + -1) + 72

Reorder the terms:
14 + 5X + -4X = (3X + -1) + 72

Combine like terms: 5X + -4X = 1X
14 + 1X = (3X + -1) + 72

Reorder the terms:
14 + 1X = (-1 + 3X) + 72

Remove parenthesis around (-1 + 3X)
14 + 1X = -1 + 3X + 72

Reorder the terms:
14 + 1X = -1 + 72 + 3X

Combine like terms: -1 + 72 = 71
14 + 1X = 71 + 3X

Solving
14 + 1X = 71 + 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 + 1X + -3X = 71 + 3X + -3X

Combine like terms: 1X + -3X = -2X
14 + -2X = 71 + 3X + -3X

Combine like terms: 3X + -3X = 0
14 + -2X = 71 + 0
14 + -2X = 71

Add '-14' to each side of the equation.
14 + -14 + -2X = 71 + -14

Combine like terms: 14 + -14 = 0
0 + -2X = 71 + -14
-2X = 71 + -14

Combine like terms: 71 + -14 = 57
-2X = 57

Divide each side by '-2'.
X = -28.5

Simplifying
X = -28.5

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