(x+5)+5=(x+4)2

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Solution for (x+5)+5=(x+4)2 equation:


Simplifying
(x + 5) + 5 = (x + 4) * 2

Reorder the terms:
(5 + x) + 5 = (x + 4) * 2

Remove parenthesis around (5 + x)
5 + x + 5 = (x + 4) * 2

Reorder the terms:
5 + 5 + x = (x + 4) * 2

Combine like terms: 5 + 5 = 10
10 + x = (x + 4) * 2

Reorder the terms:
10 + x = (4 + x) * 2

Reorder the terms for easier multiplication:
10 + x = 2(4 + x)
10 + x = (4 * 2 + x * 2)
10 + x = (8 + 2x)

Solving
10 + x = 8 + 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.
10 + x + -2x = 8 + 2x + -2x

Combine like terms: x + -2x = -1x
10 + -1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -1x = 8 + 0
10 + -1x = 8

Add '-10' to each side of the equation.
10 + -10 + -1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 8 + -10
-1x = 8 + -10

Combine like terms: 8 + -10 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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