0.85x+0.05(8-x)=0.10(52)

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Solution for 0.85x+0.05(8-x)=0.10(52) equation: 


Simplifying
0.85x + 0.05(8 + -1x) = 0.10(52)
0.85x + (8 * 0.05 + -1x * 0.05) = 0.10(52)
0.85x + (0.4 + -0.05x) = 0.10(52)

Reorder the terms:
0.4 + 0.85x + -0.05x = 0.10(52)

Combine like terms: 0.85x + -0.05x = 0.8x
0.4 + 0.8x = 0.10(52)

Multiply 0.10 * 52
0.4 + 0.8x = 5.2

Solving
0.4 + 0.8x = 5.2

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 + 0.8x = 5.2 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.8x = 5.2 + -0.4
0.8x = 5.2 + -0.4

Combine like terms: 5.2 + -0.4 = 4.8
0.8x = 4.8

Divide each side by '0.8'.
x = 6

Simplifying
x = 6

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