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

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


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

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

Reorder the terms:
-2 + -3 + 2x = -1x + -17

Combine like terms: -2 + -3 = -5
-5 + 2x = -1x + -17

Reorder the terms:
-5 + 2x = -17 + -1x

Solving
-5 + 2x = -17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 2x + x = -17 + -1x + x

Combine like terms: 2x + x = 3x
-5 + 3x = -17 + -1x + x

Combine like terms: -1x + x = 0
-5 + 3x = -17 + 0
-5 + 3x = -17

Add '5' to each side of the equation.
-5 + 5 + 3x = -17 + 5

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

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

Divide each side by '3'.
x = -4

Simplifying
x = -4

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