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

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Solution for 3(X-4)-4(X-3)=X+5-(X-1) equation: 


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

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

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

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

Combine like terms: -12 + 12 = 0
0 + 3X + -4X = X + 5 + -1(X + -1)
3X + -4X = X + 5 + -1(X + -1)

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

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

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

Combine like terms: 5 + 1 = 6
-1X = 6 + X + -1X

Combine like terms: X + -1X = 0
-1X = 6 + 0
-1X = 6

Solving
-1X = 6

Solving for variable 'X'.

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

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

Simplifying
X = -6

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