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

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


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

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

Reorder the terms:
17 + 2x = 2(-1 + 2x) + -1
17 + 2x = (-1 * 2 + 2x * 2) + -1
17 + 2x = (-2 + 4x) + -1

Reorder the terms:
17 + 2x = -2 + -1 + 4x

Combine like terms: -2 + -1 = -3
17 + 2x = -3 + 4x

Solving
17 + 2x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + 2x + -4x = -3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
17 + -2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -2x = -3 + 0
17 + -2x = -3

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

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

Combine like terms: -3 + -17 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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