17=6x-(3x-2)

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Solution for 17=6x-(3x-2) equation:


Simplifying
17 = 6x + -1(3x + -2)

Reorder the terms:
17 = 6x + -1(-2 + 3x)
17 = 6x + (-2 * -1 + 3x * -1)
17 = 6x + (2 + -3x)

Reorder the terms:
17 = 2 + 6x + -3x

Combine like terms: 6x + -3x = 3x
17 = 2 + 3x

Solving
17 = 2 + 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 = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -3x = 2 + 0
17 + -3x = 2

Add '-17' to each side of the equation.
17 + -17 + -3x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 2 + -17
-3x = 2 + -17

Combine like terms: 2 + -17 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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