(x-16)-(2x-9)=8

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Solution for (x-16)-(2x-9)=8 equation:


Simplifying
(x + -16) + -1(2x + -9) = 8

Reorder the terms:
(-16 + x) + -1(2x + -9) = 8

Remove parenthesis around (-16 + x)
-16 + x + -1(2x + -9) = 8

Reorder the terms:
-16 + x + -1(-9 + 2x) = 8
-16 + x + (-9 * -1 + 2x * -1) = 8
-16 + x + (9 + -2x) = 8

Reorder the terms:
-16 + 9 + x + -2x = 8

Combine like terms: -16 + 9 = -7
-7 + x + -2x = 8

Combine like terms: x + -2x = -1x
-7 + -1x = 8

Solving
-7 + -1x = 8

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 = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 8 + 7
-1x = 8 + 7

Combine like terms: 8 + 7 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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