(.05x)+(.25[38-x])=5.70

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Solution for (.05x)+(.25[38-x])=5.70 equation: 


Simplifying
(0.05x) + (0.25[38 + -1x]) = 5.70
(0.05x) + ([38 * 0.25 + -1x * 0.25]) = 5.70
(0.05x) + ([9.5 + -0.25x]) = 5.70
(0.05x) + (9.5 + -0.25x) = 5.70

Remove parenthesis around (9.5 + -0.25x)
(0.05x) + 9.5 + -0.25x = 5.70

Reorder the terms:
9.5 + (0.05x) + -0.25x = 5.70

Combine like terms: (0.05x) + -0.25x = -0.2x
9.5 + -0.2x = 5.70

Solving
9.5 + -0.2x = 5.70

Solving for variable 'x'.

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

Add '-9.5' to each side of the equation.
9.5 + -9.5 + -0.2x = 5.70 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + -0.2x = 5.70 + -9.5
-0.2x = 5.70 + -9.5

Combine like terms: 5.70 + -9.5 = -3.8
-0.2x = -3.8

Divide each side by '-0.2'.
x = 19

Simplifying
x = 19

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