(x+10)+x=2(x+10)+2x

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Solution for (x+10)+x=2(x+10)+2x equation:


Simplifying
(x + 10) + x = 2(x + 10) + 2x

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

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

Combine like terms: x + x = 2x
10 + 2x = 2(x + 10) + 2x

Reorder the terms:
10 + 2x = 2(10 + x) + 2x
10 + 2x = (10 * 2 + x * 2) + 2x
10 + 2x = (20 + 2x) + 2x

Combine like terms: 2x + 2x = 4x
10 + 2x = 20 + 4x

Solving
10 + 2x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = 20 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = 20 + 0
10 + -2x = 20

Add '-10' to each side of the equation.
10 + -10 + -2x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 20 + -10
-2x = 20 + -10

Combine like terms: 20 + -10 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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