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)
17 + -3x = (1 * 3 + x * 3)
17 + -3x = (3 + 3x)

Solving
17 + -3x = 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 + -3x + -3x = 3 + 3x + -3x

Combine like terms: -3x + -3x = -6x
17 + -6x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -6x = 3 + 0
17 + -6x = 3

Add '-17' to each side of the equation.
17 + -17 + -6x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 3 + -17
-6x = 3 + -17

Combine like terms: 3 + -17 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

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