2(3x+5)-(2x-6)+1=5(x-1)-3(x+2)+3

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Solution for 2(3x+5)-(2x-6)+1=5(x-1)-3(x+2)+3 equation: 


Simplifying
2(3x + 5) + -1(2x + -6) + 1 = 5(x + -1) + -3(x + 2) + 3

Reorder the terms:
2(5 + 3x) + -1(2x + -6) + 1 = 5(x + -1) + -3(x + 2) + 3
(5 * 2 + 3x * 2) + -1(2x + -6) + 1 = 5(x + -1) + -3(x + 2) + 3
(10 + 6x) + -1(2x + -6) + 1 = 5(x + -1) + -3(x + 2) + 3

Reorder the terms:
10 + 6x + -1(-6 + 2x) + 1 = 5(x + -1) + -3(x + 2) + 3
10 + 6x + (-6 * -1 + 2x * -1) + 1 = 5(x + -1) + -3(x + 2) + 3
10 + 6x + (6 + -2x) + 1 = 5(x + -1) + -3(x + 2) + 3

Reorder the terms:
10 + 6 + 1 + 6x + -2x = 5(x + -1) + -3(x + 2) + 3

Combine like terms: 10 + 6 = 16
16 + 1 + 6x + -2x = 5(x + -1) + -3(x + 2) + 3

Combine like terms: 16 + 1 = 17
17 + 6x + -2x = 5(x + -1) + -3(x + 2) + 3

Combine like terms: 6x + -2x = 4x
17 + 4x = 5(x + -1) + -3(x + 2) + 3

Reorder the terms:
17 + 4x = 5(-1 + x) + -3(x + 2) + 3
17 + 4x = (-1 * 5 + x * 5) + -3(x + 2) + 3
17 + 4x = (-5 + 5x) + -3(x + 2) + 3

Reorder the terms:
17 + 4x = -5 + 5x + -3(2 + x) + 3
17 + 4x = -5 + 5x + (2 * -3 + x * -3) + 3
17 + 4x = -5 + 5x + (-6 + -3x) + 3

Reorder the terms:
17 + 4x = -5 + -6 + 3 + 5x + -3x

Combine like terms: -5 + -6 = -11
17 + 4x = -11 + 3 + 5x + -3x

Combine like terms: -11 + 3 = -8
17 + 4x = -8 + 5x + -3x

Combine like terms: 5x + -3x = 2x
17 + 4x = -8 + 2x

Solving
17 + 4x = -8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
17 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
17 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + 2x = -8 + 0
17 + 2x = -8

Add '-17' to each side of the equation.
17 + -17 + 2x = -8 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -8 + -17
2x = -8 + -17

Combine like terms: -8 + -17 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5

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