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

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Solution for (2(x+5)-5)+17=3(x-1) equation:


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

Reorder the terms:
(2(5 + x) + -5) + 17 = 3(x + -1)
((5 * 2 + x * 2) + -5) + 17 = 3(x + -1)
((10 + 2x) + -5) + 17 = 3(x + -1)

Reorder the terms:
(10 + -5 + 2x) + 17 = 3(x + -1)

Combine like terms: 10 + -5 = 5
(5 + 2x) + 17 = 3(x + -1)

Remove parenthesis around (5 + 2x)
5 + 2x + 17 = 3(x + -1)

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

Combine like terms: 5 + 17 = 22
22 + 2x = 3(x + -1)

Reorder the terms:
22 + 2x = 3(-1 + x)
22 + 2x = (-1 * 3 + x * 3)
22 + 2x = (-3 + 3x)

Solving
22 + 2x = -3 + 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.
22 + 2x + -3x = -3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
22 + -1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -1x = -3 + 0
22 + -1x = -3

Add '-22' to each side of the equation.
22 + -22 + -1x = -3 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = -3 + -22
-1x = -3 + -22

Combine like terms: -3 + -22 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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