(x-4)+(x-1)=(x-8)

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Solution for (x-4)+(x-1)=(x-8) equation:


Simplifying
(x + -4) + (x + -1) = (x + -8)

Reorder the terms:
(-4 + x) + (x + -1) = (x + -8)

Remove parenthesis around (-4 + x)
-4 + x + (x + -1) = (x + -8)

Reorder the terms:
-4 + x + (-1 + x) = (x + -8)

Remove parenthesis around (-1 + x)
-4 + x + -1 + x = (x + -8)

Reorder the terms:
-4 + -1 + x + x = (x + -8)

Combine like terms: -4 + -1 = -5
-5 + x + x = (x + -8)

Combine like terms: x + x = 2x
-5 + 2x = (x + -8)

Reorder the terms:
-5 + 2x = (-8 + x)

Remove parenthesis around (-8 + x)
-5 + 2x = -8 + x

Solving
-5 + 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.
-5 + 2x + -1x = -8 + x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = -8 + x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = -8 + 0
-5 + 1x = -8

Add '5' to each side of the equation.
-5 + 5 + 1x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -8 + 5
1x = -8 + 5

Combine like terms: -8 + 5 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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