0.10x+0.05(8-x)=0.10(13)

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Solution for 0.10x+0.05(8-x)=0.10(13) equation: 


Simplifying
0.10x + 0.05(8 + -1x) = 0.10(13)
0.10x + (8 * 0.05 + -1x * 0.05) = 0.10(13)
0.10x + (0.4 + -0.05x) = 0.10(13)

Reorder the terms:
0.4 + 0.10x + -0.05x = 0.10(13)

Combine like terms: 0.10x + -0.05x = 0.05x
0.4 + 0.05x = 0.10(13)

Multiply 0.10 * 13
0.4 + 0.05x = 1.3

Solving
0.4 + 0.05x = 1.3

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.05x = 1.3 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.05x = 1.3 + -0.4
0.05x = 1.3 + -0.4

Combine like terms: 1.3 + -0.4 = 0.9
0.05x = 0.9

Divide each side by '0.05'.
x = 18

Simplifying
x = 18

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