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

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


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

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

Reorder the terms:
-3 + 3X = 4(-5 + X) + -1
-3 + 3X = (-5 * 4 + X * 4) + -1
-3 + 3X = (-20 + 4X) + -1

Reorder the terms:
-3 + 3X = -20 + -1 + 4X

Combine like terms: -20 + -1 = -21
-3 + 3X = -21 + 4X

Solving
-3 + 3X = -21 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
-3 + 3X + -4X = -21 + 4X + -4X

Combine like terms: 3X + -4X = -1X
-3 + -1X = -21 + 4X + -4X

Combine like terms: 4X + -4X = 0
-3 + -1X = -21 + 0
-3 + -1X = -21

Add '3' to each side of the equation.
-3 + 3 + -1X = -21 + 3

Combine like terms: -3 + 3 = 0
0 + -1X = -21 + 3
-1X = -21 + 3

Combine like terms: -21 + 3 = -18
-1X = -18

Divide each side by '-1'.
X = 18

Simplifying
X = 18

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