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

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


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

Reorder the terms:
-3(-5 + x) + -1(2x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3
(-5 * -3 + x * -3) + -1(2x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3
(15 + -3x) + -1(2x + -6) + 1 = -5(x + -1) + -1(3x + 2) + 3

Reorder the terms:
15 + -3x + -1(-6 + 2x) + 1 = -5(x + -1) + -1(3x + 2) + 3
15 + -3x + (-6 * -1 + 2x * -1) + 1 = -5(x + -1) + -1(3x + 2) + 3
15 + -3x + (6 + -2x) + 1 = -5(x + -1) + -1(3x + 2) + 3

Reorder the terms:
15 + 6 + 1 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3

Combine like terms: 15 + 6 = 21
21 + 1 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3

Combine like terms: 21 + 1 = 22
22 + -3x + -2x = -5(x + -1) + -1(3x + 2) + 3

Combine like terms: -3x + -2x = -5x
22 + -5x = -5(x + -1) + -1(3x + 2) + 3

Reorder the terms:
22 + -5x = -5(-1 + x) + -1(3x + 2) + 3
22 + -5x = (-1 * -5 + x * -5) + -1(3x + 2) + 3
22 + -5x = (5 + -5x) + -1(3x + 2) + 3

Reorder the terms:
22 + -5x = 5 + -5x + -1(2 + 3x) + 3
22 + -5x = 5 + -5x + (2 * -1 + 3x * -1) + 3
22 + -5x = 5 + -5x + (-2 + -3x) + 3

Reorder the terms:
22 + -5x = 5 + -2 + 3 + -5x + -3x

Combine like terms: 5 + -2 = 3
22 + -5x = 3 + 3 + -5x + -3x

Combine like terms: 3 + 3 = 6
22 + -5x = 6 + -5x + -3x

Combine like terms: -5x + -3x = -8x
22 + -5x = 6 + -8x

Solving
22 + -5x = 6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
22 + -5x + 8x = 6 + -8x + 8x

Combine like terms: -5x + 8x = 3x
22 + 3x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
22 + 3x = 6 + 0
22 + 3x = 6

Add '-22' to each side of the equation.
22 + -22 + 3x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 6 + -22
3x = 6 + -22

Combine like terms: 6 + -22 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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