2(x-5)-1=9-2x

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Solution for 2(x-5)-1=9-2x equation: 


Simplifying
2(x + -5) + -1 = 9 + -2x

Reorder the terms:
2(-5 + x) + -1 = 9 + -2x
(-5 * 2 + x * 2) + -1 = 9 + -2x
(-10 + 2x) + -1 = 9 + -2x

Reorder the terms:
-10 + -1 + 2x = 9 + -2x

Combine like terms: -10 + -1 = -11
-11 + 2x = 9 + -2x

Solving
-11 + 2x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-11 + 2x + 2x = 9 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-11 + 4x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + 4x = 9 + 0
-11 + 4x = 9

Add '11' to each side of the equation.
-11 + 11 + 4x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 9 + 11
4x = 9 + 11

Combine like terms: 9 + 11 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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