(5x+9)-(6x-8)=1

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Solution for (5x+9)-(6x-8)=1 equation:


Simplifying
(5x + 9) + -1(6x + -8) = 1

Reorder the terms:
(9 + 5x) + -1(6x + -8) = 1

Remove parenthesis around (9 + 5x)
9 + 5x + -1(6x + -8) = 1

Reorder the terms:
9 + 5x + -1(-8 + 6x) = 1
9 + 5x + (-8 * -1 + 6x * -1) = 1
9 + 5x + (8 + -6x) = 1

Reorder the terms:
9 + 8 + 5x + -6x = 1

Combine like terms: 9 + 8 = 17
17 + 5x + -6x = 1

Combine like terms: 5x + -6x = -1x
17 + -1x = 1

Solving
17 + -1x = 1

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 1 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 1 + -17
-1x = 1 + -17

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

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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