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

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


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

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

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

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

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

Combine like terms: 6x + x = 7x
1 + 7x + -6x = 4x + -3 + -4(x + -1)

Combine like terms: 7x + -6x = 1x
1 + 1x = 4x + -3 + -4(x + -1)

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

Reorder the terms:
1 + 1x = -3 + 4 + 4x + -4x

Combine like terms: -3 + 4 = 1
1 + 1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 1x = 1 + 0
1 + 1x = 1

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

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

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

Solving
1x = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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