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

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Solution for (2x+1)-3(5x+1)=2(x-4)-(3x-6) equation: 


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

Reorder the terms:
(1 + 2x) + -3(5x + 1) = 2(x + -4) + -1(3x + -6)

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

Reorder the terms:
1 + 2x + -3(1 + 5x) = 2(x + -4) + -1(3x + -6)
1 + 2x + (1 * -3 + 5x * -3) = 2(x + -4) + -1(3x + -6)
1 + 2x + (-3 + -15x) = 2(x + -4) + -1(3x + -6)

Reorder the terms:
1 + -3 + 2x + -15x = 2(x + -4) + -1(3x + -6)

Combine like terms: 1 + -3 = -2
-2 + 2x + -15x = 2(x + -4) + -1(3x + -6)

Combine like terms: 2x + -15x = -13x
-2 + -13x = 2(x + -4) + -1(3x + -6)

Reorder the terms:
-2 + -13x = 2(-4 + x) + -1(3x + -6)
-2 + -13x = (-4 * 2 + x * 2) + -1(3x + -6)
-2 + -13x = (-8 + 2x) + -1(3x + -6)

Reorder the terms:
-2 + -13x = -8 + 2x + -1(-6 + 3x)
-2 + -13x = -8 + 2x + (-6 * -1 + 3x * -1)
-2 + -13x = -8 + 2x + (6 + -3x)

Reorder the terms:
-2 + -13x = -8 + 6 + 2x + -3x

Combine like terms: -8 + 6 = -2
-2 + -13x = -2 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -13x = -2 + -1x

Add '2' to each side of the equation.
-2 + 2 + -13x = -2 + 2 + -1x

Combine like terms: -2 + 2 = 0
0 + -13x = -2 + 2 + -1x
-13x = -2 + 2 + -1x

Combine like terms: -2 + 2 = 0
-13x = 0 + -1x
-13x = -1x

Solving
-13x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13x + x = -1x + x

Combine like terms: -13x + x = -12x
-12x = -1x + x

Combine like terms: -1x + x = 0
-12x = 0

Divide each side by '-12'.
x = 0

Simplifying
x = 0

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