0.1(x+100)+.1x=11

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Solution for 0.1(x+100)+.1x=11 equation: 


Simplifying
0.1(x + 100) + 0.1x = 11

Reorder the terms:
0.1(100 + x) + 0.1x = 11
(100 * 0.1 + x * 0.1) + 0.1x = 11
(10 + 0.1x) + 0.1x = 11

Combine like terms: 0.1x + 0.1x = 0.2x
10 + 0.2x = 11

Solving
10 + 0.2x = 11

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.2x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 0.2x = 11 + -10
0.2x = 11 + -10

Combine like terms: 11 + -10 = 1
0.2x = 1

Divide each side by '0.2'.
x = 5

Simplifying
x = 5

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