(x-3)+(x-5)=1

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Solution for (x-3)+(x-5)=1 equation:


Simplifying
(x + -3) + (x + -5) = 1

Reorder the terms:
(-3 + x) + (x + -5) = 1

Remove parenthesis around (-3 + x)
-3 + x + (x + -5) = 1

Reorder the terms:
-3 + x + (-5 + x) = 1

Remove parenthesis around (-5 + x)
-3 + x + -5 + x = 1

Reorder the terms:
-3 + -5 + x + x = 1

Combine like terms: -3 + -5 = -8
-8 + x + x = 1

Combine like terms: x + x = 2x
-8 + 2x = 1

Solving
-8 + 2x = 1

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 1 + 8
2x = 1 + 8

Combine like terms: 1 + 8 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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