-5(15X-1)=2(7X-16)-X

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Solution for -5(15X-1)=2(7X-16)-X equation:


Simplifying
-5(15X + -1) = 2(7X + -16) + -1X

Reorder the terms:
-5(-1 + 15X) = 2(7X + -16) + -1X
(-1 * -5 + 15X * -5) = 2(7X + -16) + -1X
(5 + -75X) = 2(7X + -16) + -1X

Reorder the terms:
5 + -75X = 2(-16 + 7X) + -1X
5 + -75X = (-16 * 2 + 7X * 2) + -1X
5 + -75X = (-32 + 14X) + -1X

Combine like terms: 14X + -1X = 13X
5 + -75X = -32 + 13X

Solving
5 + -75X = -32 + 13X

Solving for variable 'X'.

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

Add '-13X' to each side of the equation.
5 + -75X + -13X = -32 + 13X + -13X

Combine like terms: -75X + -13X = -88X
5 + -88X = -32 + 13X + -13X

Combine like terms: 13X + -13X = 0
5 + -88X = -32 + 0
5 + -88X = -32

Add '-5' to each side of the equation.
5 + -5 + -88X = -32 + -5

Combine like terms: 5 + -5 = 0
0 + -88X = -32 + -5
-88X = -32 + -5

Combine like terms: -32 + -5 = -37
-88X = -37

Divide each side by '-88'.
X = 0.4204545455

Simplifying
X = 0.4204545455

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