(8x-11)-1(15-x)=1

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Solution for (8x-11)-1(15-x)=1 equation:


Simplifying
(8x + -11) + -1(15 + -1x) = 1

Reorder the terms:
(-11 + 8x) + -1(15 + -1x) = 1

Remove parenthesis around (-11 + 8x)
-11 + 8x + -1(15 + -1x) = 1
-11 + 8x + (15 * -1 + -1x * -1) = 1
-11 + 8x + (-15 + 1x) = 1

Reorder the terms:
-11 + -15 + 8x + 1x = 1

Combine like terms: -11 + -15 = -26
-26 + 8x + 1x = 1

Combine like terms: 8x + 1x = 9x
-26 + 9x = 1

Solving
-26 + 9x = 1

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 9x = 1 + 26

Combine like terms: -26 + 26 = 0
0 + 9x = 1 + 26
9x = 1 + 26

Combine like terms: 1 + 26 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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