0.50x+.05(10-x)=.10(-58)

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Solution for 0.50x+.05(10-x)=.10(-58) equation: 


Simplifying
0.50x + 0.05(10 + -1x) = 0.10(-58)
0.50x + (10 * 0.05 + -1x * 0.05) = 0.10(-58)
0.50x + (0.5 + -0.05x) = 0.10(-58)

Reorder the terms:
0.5 + 0.50x + -0.05x = 0.10(-58)

Combine like terms: 0.50x + -0.05x = 0.45x
0.5 + 0.45x = 0.10(-58)

Multiply 0.10 * -58
0.5 + 0.45x = -5.8

Solving
0.5 + 0.45x = -5.8

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 + 0.45x = -5.8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.45x = -5.8 + -0.5
0.45x = -5.8 + -0.5

Combine like terms: -5.8 + -0.5 = -6.3
0.45x = -6.3

Divide each side by '0.45'.
x = -14

Simplifying
x = -14

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