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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 9x + -1x = 8x
-9 + 8x = x + -1x

Combine like terms: x + -1x = 0
-9 + 8x = 0

Add '9' to each side of the equation.
-9 + 9 + 8x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 0 + 9
8x = 0 + 9

Combine like terms: 0 + 9 = 9
8x = 9

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

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