(x-5)+20=(2x+1)

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Solution for (x-5)+20=(2x+1) equation:


Simplifying
(x + -5) + 20 = (2x + 1)

Reorder the terms:
(-5 + x) + 20 = (2x + 1)

Remove parenthesis around (-5 + x)
-5 + x + 20 = (2x + 1)

Reorder the terms:
-5 + 20 + x = (2x + 1)

Combine like terms: -5 + 20 = 15
15 + x = (2x + 1)

Reorder the terms:
15 + x = (1 + 2x)

Remove parenthesis around (1 + 2x)
15 + x = 1 + 2x

Solving
15 + x = 1 + 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.
15 + x + -2x = 1 + 2x + -2x

Combine like terms: x + -2x = -1x
15 + -1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -1x = 1 + 0
15 + -1x = 1

Add '-15' to each side of the equation.
15 + -15 + -1x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 1 + -15
-1x = 1 + -15

Combine like terms: 1 + -15 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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