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

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


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

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

Combine like terms: 2 + 15 = 17
17 + -3x = 3 + (x + -1)

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

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

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

Solving
17 + -3x = 2 + 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.
17 + -3x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
17 + -4x = 2 + 0
17 + -4x = 2

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

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

Combine like terms: 2 + -17 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75

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