x+(x-1)=4x

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


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

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

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

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

Combine like terms: x + x = 2x
-1 + 2x = 4x

Solving
-1 + 2x = 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.
-1 + 2x + -4x = 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = 0

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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