5-3X+7(X-2)=15X+8

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Solution for 5-3X+7(X-2)=15X+8 equation: 


Simplifying
5 + -3X + 7(X + -2) = 15X + 8

Reorder the terms:
5 + -3X + 7(-2 + X) = 15X + 8
5 + -3X + (-2 * 7 + X * 7) = 15X + 8
5 + -3X + (-14 + 7X) = 15X + 8

Reorder the terms:
5 + -14 + -3X + 7X = 15X + 8

Combine like terms: 5 + -14 = -9
-9 + -3X + 7X = 15X + 8

Combine like terms: -3X + 7X = 4X
-9 + 4X = 15X + 8

Reorder the terms:
-9 + 4X = 8 + 15X

Solving
-9 + 4X = 8 + 15X

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
-9 + 4X + -15X = 8 + 15X + -15X

Combine like terms: 4X + -15X = -11X
-9 + -11X = 8 + 15X + -15X

Combine like terms: 15X + -15X = 0
-9 + -11X = 8 + 0
-9 + -11X = 8

Add '9' to each side of the equation.
-9 + 9 + -11X = 8 + 9

Combine like terms: -9 + 9 = 0
0 + -11X = 8 + 9
-11X = 8 + 9

Combine like terms: 8 + 9 = 17
-11X = 17

Divide each side by '-11'.
X = -1.545454545

Simplifying
X = -1.545454545

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