x-1=-4x+9

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Solution for x-1=-4x+9 equation:


Simplifying
x + -1 = -4x + 9

Reorder the terms:
-1 + x = -4x + 9

Reorder the terms:
-1 + x = 9 + -4x

Solving
-1 + x = 9 + -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 + x + 4x = 9 + -4x + 4x

Combine like terms: x + 4x = 5x
-1 + 5x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 5x = 9 + 0
-1 + 5x = 9

Add '1' to each side of the equation.
-1 + 1 + 5x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 9 + 1
5x = 9 + 1

Combine like terms: 9 + 1 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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