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

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


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

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

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

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

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

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

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

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

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

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

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

Combine like terms: x + 4x = 5x
-1 + 1x = -7 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-1 + 1x = -7 + 1x

Add '-1x' to each side of the equation.
-1 + 1x + -1x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 0 = -7 + 1x + -1x
-1 = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 = -7 + 0
-1 = -7

Solving
-1 = -7

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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