(x-5)=8(x+5)

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Solution for (x-5)=8(x+5) equation:


Simplifying
(x + -5) = 8(x + 5)

Reorder the terms:
(-5 + x) = 8(x + 5)

Remove parenthesis around (-5 + x)
-5 + x = 8(x + 5)

Reorder the terms:
-5 + x = 8(5 + x)
-5 + x = (5 * 8 + x * 8)
-5 + x = (40 + 8x)

Solving
-5 + x = 40 + 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.
-5 + x + -8x = 40 + 8x + -8x

Combine like terms: x + -8x = -7x
-5 + -7x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -7x = 40 + 0
-5 + -7x = 40

Add '5' to each side of the equation.
-5 + 5 + -7x = 40 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 40 + 5
-7x = 40 + 5

Combine like terms: 40 + 5 = 45
-7x = 45

Divide each side by '-7'.
x = -6.428571429

Simplifying
x = -6.428571429

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