(x-15)-(8-2x)=1

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Solution for (x-15)-(8-2x)=1 equation:


Simplifying
(x + -15) + -1(8 + -2x) = 1

Reorder the terms:
(-15 + x) + -1(8 + -2x) = 1

Remove parenthesis around (-15 + x)
-15 + x + -1(8 + -2x) = 1
-15 + x + (8 * -1 + -2x * -1) = 1
-15 + x + (-8 + 2x) = 1

Reorder the terms:
-15 + -8 + x + 2x = 1

Combine like terms: -15 + -8 = -23
-23 + x + 2x = 1

Combine like terms: x + 2x = 3x
-23 + 3x = 1

Solving
-23 + 3x = 1

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 3x = 1 + 23

Combine like terms: -23 + 23 = 0
0 + 3x = 1 + 23
3x = 1 + 23

Combine like terms: 1 + 23 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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