0.82x+0.89(10)=0.87(x+10)

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Solution for 0.82x+0.89(10)=0.87(x+10) equation: 


Simplifying
0.82x + 0.89(10) = 0.87(x + 10)

Multiply 0.89 * 10
0.82x + 8.9 = 0.87(x + 10)

Reorder the terms:
8.9 + 0.82x = 0.87(x + 10)

Reorder the terms:
8.9 + 0.82x = 0.87(10 + x)
8.9 + 0.82x = (10 * 0.87 + x * 0.87)
8.9 + 0.82x = (8.7 + 0.87x)

Solving
8.9 + 0.82x = 8.7 + 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.
8.9 + 0.82x + -0.87x = 8.7 + 0.87x + -0.87x

Combine like terms: 0.82x + -0.87x = -0.05x
8.9 + -0.05x = 8.7 + 0.87x + -0.87x

Combine like terms: 0.87x + -0.87x = 0.00
8.9 + -0.05x = 8.7 + 0.00
8.9 + -0.05x = 8.7

Add '-8.9' to each side of the equation.
8.9 + -8.9 + -0.05x = 8.7 + -8.9

Combine like terms: 8.9 + -8.9 = 0.0
0.0 + -0.05x = 8.7 + -8.9
-0.05x = 8.7 + -8.9

Combine like terms: 8.7 + -8.9 = -0.2
-0.05x = -0.2

Divide each side by '-0.05'.
x = 4

Simplifying
x = 4

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