5-(3x+2)=x-17

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Solution for 5-(3x+2)=x-17 equation:


Simplifying
5 + -1(3x + 2) = x + -17

Reorder the terms:
5 + -1(2 + 3x) = x + -17
5 + (2 * -1 + 3x * -1) = x + -17
5 + (-2 + -3x) = x + -17

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

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

Solving
3 + -3x = -17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + -3x + -1x = -17 + x + -1x

Combine like terms: -3x + -1x = -4x
3 + -4x = -17 + x + -1x

Combine like terms: x + -1x = 0
3 + -4x = -17 + 0
3 + -4x = -17

Add '-3' to each side of the equation.
3 + -3 + -4x = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -17 + -3
-4x = -17 + -3

Combine like terms: -17 + -3 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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