17=3(x-5)+5

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


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

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

Reorder the terms:
17 = -15 + 5 + 3x

Combine like terms: -15 + 5 = -10
17 = -10 + 3x

Solving
17 = -10 + 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 = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -3x = -10 + 0
17 + -3x = -10

Add '-17' to each side of the equation.
17 + -17 + -3x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -10 + -17
-3x = -10 + -17

Combine like terms: -10 + -17 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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