17+2x=3(-x+7)-34

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Solution for 17+2x=3(-x+7)-34 equation:


Simplifying
17 + 2x = 3(-1x + 7) + -34

Reorder the terms:
17 + 2x = 3(7 + -1x) + -34
17 + 2x = (7 * 3 + -1x * 3) + -34
17 + 2x = (21 + -3x) + -34

Reorder the terms:
17 + 2x = 21 + -34 + -3x

Combine like terms: 21 + -34 = -13
17 + 2x = -13 + -3x

Solving
17 + 2x = -13 + -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 + 2x + 3x = -13 + -3x + 3x

Combine like terms: 2x + 3x = 5x
17 + 5x = -13 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 5x = -13 + 0
17 + 5x = -13

Add '-17' to each side of the equation.
17 + -17 + 5x = -13 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = -13 + -17
5x = -13 + -17

Combine like terms: -13 + -17 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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