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

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


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

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

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

Reorder the terms:
3 = -12 + 6 + 4X + -1X

Combine like terms: -12 + 6 = -6
3 = -6 + 4X + -1X

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -3X = -6 + -3

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

Combine like terms: -6 + -3 = -9
-3X = -9

Divide each side by '-3'.
X = 3

Simplifying
X = 3

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