(x-1)=9(x-4)

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Solution for (x-1)=9(x-4) equation:


Simplifying
(x + -1) = 9(x + -4)

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

Remove parenthesis around (-1 + x)
-1 + x = 9(x + -4)

Reorder the terms:
-1 + x = 9(-4 + x)
-1 + x = (-4 * 9 + x * 9)
-1 + x = (-36 + 9x)

Solving
-1 + x = -36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + x + -9x = -36 + 9x + -9x

Combine like terms: x + -9x = -8x
-1 + -8x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -8x = -36 + 0
-1 + -8x = -36

Add '1' to each side of the equation.
-1 + 1 + -8x = -36 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -36 + 1
-8x = -36 + 1

Combine like terms: -36 + 1 = -35
-8x = -35

Divide each side by '-8'.
x = 4.375

Simplifying
x = 4.375

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