(2x+15)-5+7=3(x-1)

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Solution for (2x+15)-5+7=3(x-1) equation:


Simplifying
(2x + 15) + -5 + 7 = 3(x + -1)

Reorder the terms:
(15 + 2x) + -5 + 7 = 3(x + -1)

Remove parenthesis around (15 + 2x)
15 + 2x + -5 + 7 = 3(x + -1)

Reorder the terms:
15 + -5 + 7 + 2x = 3(x + -1)

Combine like terms: 15 + -5 = 10
10 + 7 + 2x = 3(x + -1)

Combine like terms: 10 + 7 = 17
17 + 2x = 3(x + -1)

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

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

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

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

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

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

Combine like terms: -3 + -17 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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