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

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


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

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

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

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

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

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

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

Combine like terms: 6x + 3x = 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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