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

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


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

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

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

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

Combine like terms: -8 + 2 = -6
-6 + 6x + -1x = 6 + 4(x + -3)

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

Reorder the terms:
-6 + 5x = 6 + 4(-3 + x)
-6 + 5x = 6 + (-3 * 4 + x * 4)
-6 + 5x = 6 + (-12 + 4x)

Combine like terms: 6 + -12 = -6
-6 + 5x = -6 + 4x

Add '6' to each side of the equation.
-6 + 6 + 5x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + 5x = -6 + 6 + 4x
5x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
5x = 0 + 4x
5x = 4x

Solving
5x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5x + -4x = 4x + -4x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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