5X-2(X+3)-1=9(2X-5)

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Solution for 5X-2(X+3)-1=9(2X-5) equation: 


Simplifying
5X + -2(X + 3) + -1 = 9(2X + -5)

Reorder the terms:
5X + -2(3 + X) + -1 = 9(2X + -5)
5X + (3 * -2 + X * -2) + -1 = 9(2X + -5)
5X + (-6 + -2X) + -1 = 9(2X + -5)

Reorder the terms:
-6 + -1 + 5X + -2X = 9(2X + -5)

Combine like terms: -6 + -1 = -7
-7 + 5X + -2X = 9(2X + -5)

Combine like terms: 5X + -2X = 3X
-7 + 3X = 9(2X + -5)

Reorder the terms:
-7 + 3X = 9(-5 + 2X)
-7 + 3X = (-5 * 9 + 2X * 9)
-7 + 3X = (-45 + 18X)

Solving
-7 + 3X = -45 + 18X

Solving for variable 'X'.

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

Add '-18X' to each side of the equation.
-7 + 3X + -18X = -45 + 18X + -18X

Combine like terms: 3X + -18X = -15X
-7 + -15X = -45 + 18X + -18X

Combine like terms: 18X + -18X = 0
-7 + -15X = -45 + 0
-7 + -15X = -45

Add '7' to each side of the equation.
-7 + 7 + -15X = -45 + 7

Combine like terms: -7 + 7 = 0
0 + -15X = -45 + 7
-15X = -45 + 7

Combine like terms: -45 + 7 = -38
-15X = -38

Divide each side by '-15'.
X = 2.533333333

Simplifying
X = 2.533333333

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