3=3(X-4)-(X-5)

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Solution for 3=3(X-4)-(X-5) equation:


Simplifying
3 = 3(X + -4) + -1(X + -5)

Reorder the terms:
3 = 3(-4 + X) + -1(X + -5)
3 = (-4 * 3 + X * 3) + -1(X + -5)
3 = (-12 + 3X) + -1(X + -5)

Reorder the terms:
3 = -12 + 3X + -1(-5 + X)
3 = -12 + 3X + (-5 * -1 + X * -1)
3 = -12 + 3X + (5 + -1X)

Reorder the terms:
3 = -12 + 5 + 3X + -1X

Combine like terms: -12 + 5 = -7
3 = -7 + 3X + -1X

Combine like terms: 3X + -1X = 2X
3 = -7 + 2X

Solving
3 = -7 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
3 + -2X = -7 + 2X + -2X

Combine like terms: 2X + -2X = 0
3 + -2X = -7 + 0
3 + -2X = -7

Add '-3' to each side of the equation.
3 + -3 + -2X = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -2X = -7 + -3
-2X = -7 + -3

Combine like terms: -7 + -3 = -10
-2X = -10

Divide each side by '-2'.
X = 5

Simplifying
X = 5

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