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

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


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

Reorder the terms:
4(-3 + x) + -2(x + -1) = 3(2x + -3) + -1(4x + 1)
(-3 * 4 + x * 4) + -2(x + -1) = 3(2x + -3) + -1(4x + 1)
(-12 + 4x) + -2(x + -1) = 3(2x + -3) + -1(4x + 1)

Reorder the terms:
-12 + 4x + -2(-1 + x) = 3(2x + -3) + -1(4x + 1)
-12 + 4x + (-1 * -2 + x * -2) = 3(2x + -3) + -1(4x + 1)
-12 + 4x + (2 + -2x) = 3(2x + -3) + -1(4x + 1)

Reorder the terms:
-12 + 2 + 4x + -2x = 3(2x + -3) + -1(4x + 1)

Combine like terms: -12 + 2 = -10
-10 + 4x + -2x = 3(2x + -3) + -1(4x + 1)

Combine like terms: 4x + -2x = 2x
-10 + 2x = 3(2x + -3) + -1(4x + 1)

Reorder the terms:
-10 + 2x = 3(-3 + 2x) + -1(4x + 1)
-10 + 2x = (-3 * 3 + 2x * 3) + -1(4x + 1)
-10 + 2x = (-9 + 6x) + -1(4x + 1)

Reorder the terms:
-10 + 2x = -9 + 6x + -1(1 + 4x)
-10 + 2x = -9 + 6x + (1 * -1 + 4x * -1)
-10 + 2x = -9 + 6x + (-1 + -4x)

Reorder the terms:
-10 + 2x = -9 + -1 + 6x + -4x

Combine like terms: -9 + -1 = -10
-10 + 2x = -10 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-10 + 2x = -10 + 2x

Add '10' to each side of the equation.
-10 + 10 + 2x = -10 + 10 + 2x

Combine like terms: -10 + 10 = 0
0 + 2x = -10 + 10 + 2x
2x = -10 + 10 + 2x

Combine like terms: -10 + 10 = 0
2x = 0 + 2x
2x = 2x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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