(x-1)=5x+2

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Solution for (x-1)=5x+2 equation:


Simplifying
(x + -1) = 5x + 2

Reorder the terms:
(-1 + x) = 5x + 2

Remove parenthesis around (-1 + x)
-1 + x = 5x + 2

Reorder the terms:
-1 + x = 2 + 5x

Solving
-1 + x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + x + -5x = 2 + 5x + -5x

Combine like terms: x + -5x = -4x
-1 + -4x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -4x = 2 + 0
-1 + -4x = 2

Add '1' to each side of the equation.
-1 + 1 + -4x = 2 + 1

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

Combine like terms: 2 + 1 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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