3(X-5)-(X+1)=X-8

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Solution for 3(X-5)-(X+1)=X-8 equation: 


Simplifying
3(X + -5) + -1(X + 1) = X + -8

Reorder the terms:
3(-5 + X) + -1(X + 1) = X + -8
(-5 * 3 + X * 3) + -1(X + 1) = X + -8
(-15 + 3X) + -1(X + 1) = X + -8

Reorder the terms:
-15 + 3X + -1(1 + X) = X + -8
-15 + 3X + (1 * -1 + X * -1) = X + -8
-15 + 3X + (-1 + -1X) = X + -8

Reorder the terms:
-15 + -1 + 3X + -1X = X + -8

Combine like terms: -15 + -1 = -16
-16 + 3X + -1X = X + -8

Combine like terms: 3X + -1X = 2X
-16 + 2X = X + -8

Reorder the terms:
-16 + 2X = -8 + X

Solving
-16 + 2X = -8 + X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
-16 + 2X + -1X = -8 + X + -1X

Combine like terms: 2X + -1X = 1X
-16 + 1X = -8 + X + -1X

Combine like terms: X + -1X = 0
-16 + 1X = -8 + 0
-16 + 1X = -8

Add '16' to each side of the equation.
-16 + 16 + 1X = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 1X = -8 + 16
1X = -8 + 16

Combine like terms: -8 + 16 = 8
1X = 8

Divide each side by '1'.
X = 8

Simplifying
X = 8

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