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

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


Simplifying
6 + -1X = 4(X + -3) + -7(X + -4)

Reorder the terms:
6 + -1X = 4(-3 + X) + -7(X + -4)
6 + -1X = (-3 * 4 + X * 4) + -7(X + -4)
6 + -1X = (-12 + 4X) + -7(X + -4)

Reorder the terms:
6 + -1X = -12 + 4X + -7(-4 + X)
6 + -1X = -12 + 4X + (-4 * -7 + X * -7)
6 + -1X = -12 + 4X + (28 + -7X)

Reorder the terms:
6 + -1X = -12 + 28 + 4X + -7X

Combine like terms: -12 + 28 = 16
6 + -1X = 16 + 4X + -7X

Combine like terms: 4X + -7X = -3X
6 + -1X = 16 + -3X

Solving
6 + -1X = 16 + -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.
6 + -1X + 3X = 16 + -3X + 3X

Combine like terms: -1X + 3X = 2X
6 + 2X = 16 + -3X + 3X

Combine like terms: -3X + 3X = 0
6 + 2X = 16 + 0
6 + 2X = 16

Add '-6' to each side of the equation.
6 + -6 + 2X = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2X = 16 + -6
2X = 16 + -6

Combine like terms: 16 + -6 = 10
2X = 10

Divide each side by '2'.
X = 5

Simplifying
X = 5

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