0.45x+0.05(10-x)=0.10(61)

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Solution for 0.45x+0.05(10-x)=0.10(61) equation: 


Simplifying
0.45x + 0.05(10 + -1x) = 0.10(61)
0.45x + (10 * 0.05 + -1x * 0.05) = 0.10(61)
0.45x + (0.5 + -0.05x) = 0.10(61)

Reorder the terms:
0.5 + 0.45x + -0.05x = 0.10(61)

Combine like terms: 0.45x + -0.05x = 0.4x
0.5 + 0.4x = 0.10(61)

Multiply 0.10 * 61
0.5 + 0.4x = 6.1

Solving
0.5 + 0.4x = 6.1

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.4x = 6.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.4x = 6.1 + -0.5
0.4x = 6.1 + -0.5

Combine like terms: 6.1 + -0.5 = 5.6
0.4x = 5.6

Divide each side by '0.4'.
x = 14

Simplifying
x = 14

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