0.35x+0.05(10-x)=0.10(29)

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Solution for 0.35x+0.05(10-x)=0.10(29) equation: 


Simplifying
0.35x + 0.05(10 + -1x) = 0.10(29)
0.35x + (10 * 0.05 + -1x * 0.05) = 0.10(29)
0.35x + (0.5 + -0.05x) = 0.10(29)

Reorder the terms:
0.5 + 0.35x + -0.05x = 0.10(29)

Combine like terms: 0.35x + -0.05x = 0.3x
0.5 + 0.3x = 0.10(29)

Multiply 0.10 * 29
0.5 + 0.3x = 2.9

Solving
0.5 + 0.3x = 2.9

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 + 0.3x = 2.9 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.3x = 2.9 + -0.5
0.3x = 2.9 + -0.5

Combine like terms: 2.9 + -0.5 = 2.4
0.3x = 2.4

Divide each side by '0.3'.
x = 8

Simplifying
x = 8

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