6X-4(2X-7)=4-3(X-6)

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Solution for 6X-4(2X-7)=4-3(X-6) equation: 


Simplifying
6X + -4(2X + -7) = 4 + -3(X + -6)

Reorder the terms:
6X + -4(-7 + 2X) = 4 + -3(X + -6)
6X + (-7 * -4 + 2X * -4) = 4 + -3(X + -6)
6X + (28 + -8X) = 4 + -3(X + -6)

Reorder the terms:
28 + 6X + -8X = 4 + -3(X + -6)

Combine like terms: 6X + -8X = -2X
28 + -2X = 4 + -3(X + -6)

Reorder the terms:
28 + -2X = 4 + -3(-6 + X)
28 + -2X = 4 + (-6 * -3 + X * -3)
28 + -2X = 4 + (18 + -3X)

Combine like terms: 4 + 18 = 22
28 + -2X = 22 + -3X

Solving
28 + -2X = 22 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
28 + -2X + 3X = 22 + -3X + 3X

Combine like terms: -2X + 3X = 1X
28 + 1X = 22 + -3X + 3X

Combine like terms: -3X + 3X = 0
28 + 1X = 22 + 0
28 + 1X = 22

Add '-28' to each side of the equation.
28 + -28 + 1X = 22 + -28

Combine like terms: 28 + -28 = 0
0 + 1X = 22 + -28
1X = 22 + -28

Combine like terms: 22 + -28 = -6
1X = -6

Divide each side by '1'.
X = -6

Simplifying
X = -6

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