0.90x+.05(10-x)=.10(158)

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Solution for 0.90x+.05(10-x)=.10(158) equation: 


Simplifying
0.90x + 0.05(10 + -1x) = 0.10(158)
0.90x + (10 * 0.05 + -1x * 0.05) = 0.10(158)
0.90x + (0.5 + -0.05x) = 0.10(158)

Reorder the terms:
0.5 + 0.90x + -0.05x = 0.10(158)

Combine like terms: 0.90x + -0.05x = 0.85x
0.5 + 0.85x = 0.10(158)

Multiply 0.10 * 158
0.5 + 0.85x = 15.8

Solving
0.5 + 0.85x = 15.8

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 + 0.85x = 15.8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.85x = 15.8 + -0.5
0.85x = 15.8 + -0.5

Combine like terms: 15.8 + -0.5 = 15.3
0.85x = 15.3

Divide each side by '0.85'.
x = 18

Simplifying
x = 18

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