10x-2=5x+9

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Solution for 10x-2=5x+9 equation:


Simplifying
10x + -2 = 5x + 9

Reorder the terms:
-2 + 10x = 5x + 9

Reorder the terms:
-2 + 10x = 9 + 5x

Solving
-2 + 10x = 9 + 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.
-2 + 10x + -5x = 9 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-2 + 5x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 5x = 9 + 0
-2 + 5x = 9

Add '2' to each side of the equation.
-2 + 2 + 5x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 9 + 2
5x = 9 + 2

Combine like terms: 9 + 2 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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