(3x-9)=(x-4)

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Solution for (3x-9)=(x-4) equation:


Simplifying
(3x + -9) = (x + -4)

Reorder the terms:
(-9 + 3x) = (x + -4)

Remove parenthesis around (-9 + 3x)
-9 + 3x = (x + -4)

Reorder the terms:
-9 + 3x = (-4 + x)

Remove parenthesis around (-4 + x)
-9 + 3x = -4 + x

Solving
-9 + 3x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 3x + -1x = -4 + x + -1x

Combine like terms: 3x + -1x = 2x
-9 + 2x = -4 + x + -1x

Combine like terms: x + -1x = 0
-9 + 2x = -4 + 0
-9 + 2x = -4

Add '9' to each side of the equation.
-9 + 9 + 2x = -4 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -4 + 9
2x = -4 + 9

Combine like terms: -4 + 9 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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