(17x-9)-8(2x+4)=-5

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Solution for (17x-9)-8(2x+4)=-5 equation:


Simplifying
(17x + -9) + -8(2x + 4) = -5

Reorder the terms:
(-9 + 17x) + -8(2x + 4) = -5

Remove parenthesis around (-9 + 17x)
-9 + 17x + -8(2x + 4) = -5

Reorder the terms:
-9 + 17x + -8(4 + 2x) = -5
-9 + 17x + (4 * -8 + 2x * -8) = -5
-9 + 17x + (-32 + -16x) = -5

Reorder the terms:
-9 + -32 + 17x + -16x = -5

Combine like terms: -9 + -32 = -41
-41 + 17x + -16x = -5

Combine like terms: 17x + -16x = 1x
-41 + 1x = -5

Solving
-41 + 1x = -5

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 1x = -5 + 41

Combine like terms: -41 + 41 = 0
0 + 1x = -5 + 41
1x = -5 + 41

Combine like terms: -5 + 41 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36

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