.82x+9(100)=.87(x+100)

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Solution for .82x+9(100)=.87(x+100) equation: 


Simplifying
0.82x + 9(100) = 0.87(x + 100)

Multiply 9 * 100
0.82x + 900 = 0.87(x + 100)

Reorder the terms:
900 + 0.82x = 0.87(x + 100)

Reorder the terms:
900 + 0.82x = 0.87(100 + x)
900 + 0.82x = (100 * 0.87 + x * 0.87)
900 + 0.82x = (87 + 0.87x)

Solving
900 + 0.82x = 87 + 0.87x

Solving for variable 'x'.

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

Add '-0.87x' to each side of the equation.
900 + 0.82x + -0.87x = 87 + 0.87x + -0.87x

Combine like terms: 0.82x + -0.87x = -0.05x
900 + -0.05x = 87 + 0.87x + -0.87x

Combine like terms: 0.87x + -0.87x = 0.00
900 + -0.05x = 87 + 0.00
900 + -0.05x = 87

Add '-900' to each side of the equation.
900 + -900 + -0.05x = 87 + -900

Combine like terms: 900 + -900 = 0
0 + -0.05x = 87 + -900
-0.05x = 87 + -900

Combine like terms: 87 + -900 = -813
-0.05x = -813

Divide each side by '-0.05'.
x = 16260

Simplifying
x = 16260

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