x-9=4(109-x)

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Solution for x-9=4(109-x) equation:


Simplifying
x + -9 = 4(109 + -1x)

Reorder the terms:
-9 + x = 4(109 + -1x)
-9 + x = (109 * 4 + -1x * 4)
-9 + x = (436 + -4x)

Solving
-9 + x = 436 + -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 = 436 + -4x + 4x

Combine like terms: x + 4x = 5x
-9 + 5x = 436 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 5x = 436 + 0
-9 + 5x = 436

Add '9' to each side of the equation.
-9 + 9 + 5x = 436 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 436 + 9
5x = 436 + 9

Combine like terms: 436 + 9 = 445
5x = 445

Divide each side by '5'.
x = 89

Simplifying
x = 89

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