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

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


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

Reorder the terms:
5(-2 + x) + -8x + 5 = -17
(-2 * 5 + x * 5) + -8x + 5 = -17
(-10 + 5x) + -8x + 5 = -17

Reorder the terms:
-10 + 5 + 5x + -8x = -17

Combine like terms: -10 + 5 = -5
-5 + 5x + -8x = -17

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

Solving
-5 + -3x = -17

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -3x = -17 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -17 + 5
-3x = -17 + 5

Combine like terms: -17 + 5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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