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

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


Simplifying
(8 + -2x) + -1(5 + -4x) = 17

Remove parenthesis around (8 + -2x)
8 + -2x + -1(5 + -4x) = 17
8 + -2x + (5 * -1 + -4x * -1) = 17
8 + -2x + (-5 + 4x) = 17

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

Combine like terms: 8 + -5 = 3
3 + -2x + 4x = 17

Combine like terms: -2x + 4x = 2x
3 + 2x = 17

Solving
3 + 2x = 17

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 17 + -3
2x = 17 + -3

Combine like terms: 17 + -3 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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