0.65x+0.05(2-x)=0.10(97)

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Solution for 0.65x+0.05(2-x)=0.10(97) equation: 


Simplifying
0.65x + 0.05(2 + -1x) = 0.10(97)
0.65x + (2 * 0.05 + -1x * 0.05) = 0.10(97)
0.65x + (0.1 + -0.05x) = 0.10(97)

Reorder the terms:
0.1 + 0.65x + -0.05x = 0.10(97)

Combine like terms: 0.65x + -0.05x = 0.6x
0.1 + 0.6x = 0.10(97)

Multiply 0.10 * 97
0.1 + 0.6x = 9.7

Solving
0.1 + 0.6x = 9.7

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.6x = 9.7 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.6x = 9.7 + -0.1
0.6x = 9.7 + -0.1

Combine like terms: 9.7 + -0.1 = 9.6
0.6x = 9.6

Divide each side by '0.6'.
x = 16

Simplifying
x = 16

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