6x-3=9-5x+10

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Solution for 6x-3=9-5x+10 equation:


Simplifying
6x + -3 = 9 + -5x + 10

Reorder the terms:
-3 + 6x = 9 + -5x + 10

Reorder the terms:
-3 + 6x = 9 + 10 + -5x

Combine like terms: 9 + 10 = 19
-3 + 6x = 19 + -5x

Solving
-3 + 6x = 19 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3 + 6x + 5x = 19 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-3 + 11x = 19 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 11x = 19 + 0
-3 + 11x = 19

Add '3' to each side of the equation.
-3 + 3 + 11x = 19 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 19 + 3
11x = 19 + 3

Combine like terms: 19 + 3 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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