0.70x+0.05(8-x)=0.10(82)

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Solution for 0.70x+0.05(8-x)=0.10(82) equation: 


Simplifying
0.70x + 0.05(8 + -1x) = 0.10(82)
0.70x + (8 * 0.05 + -1x * 0.05) = 0.10(82)
0.70x + (0.4 + -0.05x) = 0.10(82)

Reorder the terms:
0.4 + 0.70x + -0.05x = 0.10(82)

Combine like terms: 0.70x + -0.05x = 0.65x
0.4 + 0.65x = 0.10(82)

Multiply 0.10 * 82
0.4 + 0.65x = 8.2

Solving
0.4 + 0.65x = 8.2

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 + 0.65x = 8.2 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.65x = 8.2 + -0.4
0.65x = 8.2 + -0.4

Combine like terms: 8.2 + -0.4 = 7.8
0.65x = 7.8

Divide each side by '0.65'.
x = 12

Simplifying
x = 12

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