5X-1=-8(X-8)

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Solution for 5X-1=-8(X-8) equation:


Simplifying
5X + -1 = -8(X + -8)

Reorder the terms:
-1 + 5X = -8(X + -8)

Reorder the terms:
-1 + 5X = -8(-8 + X)
-1 + 5X = (-8 * -8 + X * -8)
-1 + 5X = (64 + -8X)

Solving
-1 + 5X = 64 + -8X

Solving for variable 'X'.

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

Add '8X' to each side of the equation.
-1 + 5X + 8X = 64 + -8X + 8X

Combine like terms: 5X + 8X = 13X
-1 + 13X = 64 + -8X + 8X

Combine like terms: -8X + 8X = 0
-1 + 13X = 64 + 0
-1 + 13X = 64

Add '1' to each side of the equation.
-1 + 1 + 13X = 64 + 1

Combine like terms: -1 + 1 = 0
0 + 13X = 64 + 1
13X = 64 + 1

Combine like terms: 64 + 1 = 65
13X = 65

Divide each side by '13'.
X = 5

Simplifying
X = 5

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