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 = -4
-4 + 1 + 6x + -2x = 5(x + -1) + -3(x + 2) + 3

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

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

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

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

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

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

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

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

Solving
-3 + 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.
-3 + 4x + -2x = -8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + 2x = -8 + 0
-3 + 2x = -8

Add '3' to each side of the equation.
-3 + 3 + 2x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -8 + 3
2x = -8 + 3

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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