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

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


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

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

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

Remove parenthesis around (5 + x)
-40 + 8x = 5 + x

Solving
-40 + 8x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-40 + 8x + -1x = 5 + x + -1x

Combine like terms: 8x + -1x = 7x
-40 + 7x = 5 + x + -1x

Combine like terms: x + -1x = 0
-40 + 7x = 5 + 0
-40 + 7x = 5

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

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

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

Divide each side by '7'.
x = 6.428571429

Simplifying
x = 6.428571429

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