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

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


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

Reorder the terms:
x + -9 + x + 3(-9 + x) = x
x + -9 + x + (-9 * 3 + x * 3) = x
x + -9 + x + (-27 + 3x) = x

Reorder the terms:
-9 + -27 + x + x + 3x = x

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

Combine like terms: x + x = 2x
-36 + 2x + 3x = x

Combine like terms: 2x + 3x = 5x
-36 + 5x = x

Solving
-36 + 5x = 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.
-36 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
-36 + 4x = x + -1x

Combine like terms: x + -1x = 0
-36 + 4x = 0

Add '36' to each side of the equation.
-36 + 36 + 4x = 0 + 36

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

Combine like terms: 0 + 36 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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