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

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


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

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

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

Remove parenthesis around (9 + x)
-10 + 2x = 9 + x

Solving
-10 + 2x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 2x + -1x = 9 + x + -1x

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

Combine like terms: x + -1x = 0
-10 + 1x = 9 + 0
-10 + 1x = 9

Add '10' to each side of the equation.
-10 + 10 + 1x = 9 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 9 + 10
1x = 9 + 10

Combine like terms: 9 + 10 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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