x-1=4x+8-x

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


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

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

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

Combine like terms: 4x + -1x = 3x
-1 + x = 8 + 3x

Solving
-1 + x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + x + -3x = 8 + 3x + -3x

Combine like terms: x + -3x = -2x
-1 + -2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -2x = 8 + 0
-1 + -2x = 8

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

Combine like terms: -1 + 1 = 0
0 + -2x = 8 + 1
-2x = 8 + 1

Combine like terms: 8 + 1 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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