0.05x+0.20(100)=0.10(100+x)

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Solution for 0.05x+0.20(100)=0.10(100+x) equation: 


Simplifying
0.05x + 0.20(100) = 0.10(100 + x)

Multiply 0.20 * 100
0.05x + 20 = 0.10(100 + x)

Reorder the terms:
20 + 0.05x = 0.10(100 + x)
20 + 0.05x = (100 * 0.10 + x * 0.10)
20 + 0.05x = (10 + 0.10x)

Solving
20 + 0.05x = 10 + 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
20 + 0.05x + -0.10x = 10 + 0.10x + -0.10x

Combine like terms: 0.05x + -0.10x = -0.05x
20 + -0.05x = 10 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
20 + -0.05x = 10 + 0.00
20 + -0.05x = 10

Add '-20' to each side of the equation.
20 + -20 + -0.05x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -0.05x = 10 + -20
-0.05x = 10 + -20

Combine like terms: 10 + -20 = -10
-0.05x = -10

Divide each side by '-0.05'.
x = 200

Simplifying
x = 200

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