17-(3x+5)=3x-6

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Solution for 17-(3x+5)=3x-6 equation:


Simplifying
17 + -1(3x + 5) = 3x + -6

Reorder the terms:
17 + -1(5 + 3x) = 3x + -6
17 + (5 * -1 + 3x * -1) = 3x + -6
17 + (-5 + -3x) = 3x + -6

Combine like terms: 17 + -5 = 12
12 + -3x = 3x + -6

Reorder the terms:
12 + -3x = -6 + 3x

Solving
12 + -3x = -6 + 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.
12 + -3x + -3x = -6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
12 + -6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -6x = -6 + 0
12 + -6x = -6

Add '-12' to each side of the equation.
12 + -12 + -6x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -6 + -12
-6x = -6 + -12

Combine like terms: -6 + -12 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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