0.40x+0.05(8-x)=0.10(67)

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Solution for 0.40x+0.05(8-x)=0.10(67) equation: 


Simplifying
0.40x + 0.05(8 + -1x) = 0.10(67)
0.40x + (8 * 0.05 + -1x * 0.05) = 0.10(67)
0.40x + (0.4 + -0.05x) = 0.10(67)

Reorder the terms:
0.4 + 0.40x + -0.05x = 0.10(67)

Combine like terms: 0.40x + -0.05x = 0.35x
0.4 + 0.35x = 0.10(67)

Multiply 0.10 * 67
0.4 + 0.35x = 6.7

Solving
0.4 + 0.35x = 6.7

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 + 0.35x = 6.7 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.35x = 6.7 + -0.4
0.35x = 6.7 + -0.4

Combine like terms: 6.7 + -0.4 = 6.3
0.35x = 6.3

Divide each side by '0.35'.
x = 18

Simplifying
x = 18

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