(6x-5)=(9x+10)

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Solution for (6x-5)=(9x+10) equation:


Simplifying
(6x + -5) = (9x + 10)

Reorder the terms:
(-5 + 6x) = (9x + 10)

Remove parenthesis around (-5 + 6x)
-5 + 6x = (9x + 10)

Reorder the terms:
-5 + 6x = (10 + 9x)

Remove parenthesis around (10 + 9x)
-5 + 6x = 10 + 9x

Solving
-5 + 6x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 6x + -9x = 10 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-5 + -3x = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -3x = 10 + 0
-5 + -3x = 10

Add '5' to each side of the equation.
-5 + 5 + -3x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 10 + 5
-3x = 10 + 5

Combine like terms: 10 + 5 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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