17=3(x-5)+8

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Solution for 17=3(x-5)+8 equation: 


Simplifying
17 = 3(x + -5) + 8

Reorder the terms:
17 = 3(-5 + x) + 8
17 = (-5 * 3 + x * 3) + 8
17 = (-15 + 3x) + 8

Reorder the terms:
17 = -15 + 8 + 3x

Combine like terms: -15 + 8 = -7
17 = -7 + 3x

Solving
17 = -7 + 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 = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -3x = -7 + 0
17 + -3x = -7

Add '-17' to each side of the equation.
17 + -17 + -3x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -7 + -17
-3x = -7 + -17

Combine like terms: -7 + -17 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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