x-9=4(x-9)

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


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

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

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

Solving
-9 + x = -36 + 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.
-9 + x + -4x = -36 + 4x + -4x

Combine like terms: x + -4x = -3x
-9 + -3x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -3x = -36 + 0
-9 + -3x = -36

Add '9' to each side of the equation.
-9 + 9 + -3x = -36 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = -36 + 9
-3x = -36 + 9

Combine like terms: -36 + 9 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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