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

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


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

Reorder the terms:
-17 = 5(-4 + x) + -8x
-17 = (-4 * 5 + x * 5) + -8x
-17 = (-20 + 5x) + -8x

Combine like terms: 5x + -8x = -3x
-17 = -20 + -3x

Solving
-17 = -20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-17 + 3x = -20 + -3x + 3x

Combine like terms: -3x + 3x = 0
-17 + 3x = -20 + 0
-17 + 3x = -20

Add '17' to each side of the equation.
-17 + 17 + 3x = -20 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = -20 + 17
3x = -20 + 17

Combine like terms: -20 + 17 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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