2(x-5)=9-3x+6+9+3x+7

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Solution for 2(x-5)=9-3x+6+9+3x+7 equation: 


Simplifying
2(x + -5) = 9 + -3x + 6 + 9 + 3x + 7

Reorder the terms:
2(-5 + x) = 9 + -3x + 6 + 9 + 3x + 7
(-5 * 2 + x * 2) = 9 + -3x + 6 + 9 + 3x + 7
(-10 + 2x) = 9 + -3x + 6 + 9 + 3x + 7

Reorder the terms:
-10 + 2x = 9 + 6 + 9 + 7 + -3x + 3x

Combine like terms: 9 + 6 = 15
-10 + 2x = 15 + 9 + 7 + -3x + 3x

Combine like terms: 15 + 9 = 24
-10 + 2x = 24 + 7 + -3x + 3x

Combine like terms: 24 + 7 = 31
-10 + 2x = 31 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 2x = 31 + 0
-10 + 2x = 31

Solving
-10 + 2x = 31

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 31 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 31 + 10
2x = 31 + 10

Combine like terms: 31 + 10 = 41
2x = 41

Divide each side by '2'.
x = 20.5

Simplifying
x = 20.5

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