17=2-3(-2x+1)-10

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Solution for 17=2-3(-2x+1)-10 equation:


Simplifying
17 = 2 + -3(-2x + 1) + -10

Reorder the terms:
17 = 2 + -3(1 + -2x) + -10
17 = 2 + (1 * -3 + -2x * -3) + -10
17 = 2 + (-3 + 6x) + -10

Reorder the terms:
17 = 2 + -3 + -10 + 6x

Combine like terms: 2 + -3 = -1
17 = -1 + -10 + 6x

Combine like terms: -1 + -10 = -11
17 = -11 + 6x

Solving
17 = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
17 + -6x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
17 + -6x = -11 + 0
17 + -6x = -11

Add '-17' to each side of the equation.
17 + -17 + -6x = -11 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = -11 + -17
-6x = -11 + -17

Combine like terms: -11 + -17 = -28
-6x = -28

Divide each side by '-6'.
x = 4.666666667

Simplifying
x = 4.666666667

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