0.60x+0.05(10-x)=0.10(38)

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Solution for 0.60x+0.05(10-x)=0.10(38) equation: 


Simplifying
0.60x + 0.05(10 + -1x) = 0.10(38)
0.60x + (10 * 0.05 + -1x * 0.05) = 0.10(38)
0.60x + (0.5 + -0.05x) = 0.10(38)

Reorder the terms:
0.5 + 0.60x + -0.05x = 0.10(38)

Combine like terms: 0.60x + -0.05x = 0.55x
0.5 + 0.55x = 0.10(38)

Multiply 0.10 * 38
0.5 + 0.55x = 3.8

Solving
0.5 + 0.55x = 3.8

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 + 0.55x = 3.8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.55x = 3.8 + -0.5
0.55x = 3.8 + -0.5

Combine like terms: 3.8 + -0.5 = 3.3
0.55x = 3.3

Divide each side by '0.55'.
x = 6

Simplifying
x = 6

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