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

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


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

Reorder the terms:
2(3 + x) + 5 = 3(x + -1)
(3 * 2 + x * 2) + 5 = 3(x + -1)
(6 + 2x) + 5 = 3(x + -1)

Reorder the terms:
6 + 5 + 2x = 3(x + -1)

Combine like terms: 6 + 5 = 11
11 + 2x = 3(x + -1)

Reorder the terms:
11 + 2x = 3(-1 + x)
11 + 2x = (-1 * 3 + x * 3)
11 + 2x = (-3 + 3x)

Solving
11 + 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.
11 + 2x + -3x = -3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
11 + -1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -1x = -3 + 0
11 + -1x = -3

Add '-11' to each side of the equation.
11 + -11 + -1x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -3 + -11
-1x = -3 + -11

Combine like terms: -3 + -11 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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