x+(4x-3)+(5x-6)=x

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Solution for x+(4x-3)+(5x-6)=x equation:


Simplifying
x + (4x + -3) + (5x + -6) = x

Reorder the terms:
x + (-3 + 4x) + (5x + -6) = x

Remove parenthesis around (-3 + 4x)
x + -3 + 4x + (5x + -6) = x

Reorder the terms:
x + -3 + 4x + (-6 + 5x) = x

Remove parenthesis around (-6 + 5x)
x + -3 + 4x + -6 + 5x = x

Reorder the terms:
-3 + -6 + x + 4x + 5x = x

Combine like terms: -3 + -6 = -9
-9 + x + 4x + 5x = x

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

Combine like terms: 5x + 5x = 10x
-9 + 10x = x

Solving
-9 + 10x = 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 + 10x + -1x = x + -1x

Combine like terms: 10x + -1x = 9x
-9 + 9x = x + -1x

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

Add '9' to each side of the equation.
-9 + 9 + 9x = 0 + 9

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

Combine like terms: 0 + 9 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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