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

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


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

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

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

Reorder the terms:
-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 = -7
-7 + x + -2x = 1

Combine like terms: x + -2x = -1x
-7 + -1x = 1

Solving
-7 + -1x = 1

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 1 + 7

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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