X-8=27-13(X+7)

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Solution for X-8=27-13(X+7) equation:


Simplifying
X + -8 = 27 + -13(X + 7)

Reorder the terms:
-8 + X = 27 + -13(X + 7)

Reorder the terms:
-8 + X = 27 + -13(7 + X)
-8 + X = 27 + (7 * -13 + X * -13)
-8 + X = 27 + (-91 + -13X)

Combine like terms: 27 + -91 = -64
-8 + X = -64 + -13X

Solving
-8 + X = -64 + -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.
-8 + X + 13X = -64 + -13X + 13X

Combine like terms: X + 13X = 14X
-8 + 14X = -64 + -13X + 13X

Combine like terms: -13X + 13X = 0
-8 + 14X = -64 + 0
-8 + 14X = -64

Add '8' to each side of the equation.
-8 + 8 + 14X = -64 + 8

Combine like terms: -8 + 8 = 0
0 + 14X = -64 + 8
14X = -64 + 8

Combine like terms: -64 + 8 = -56
14X = -56

Divide each side by '14'.
X = -4

Simplifying
X = -4

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