.10x+.05(6-x)=.10(11)

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Solution for .10x+.05(6-x)=.10(11) equation:


Simplifying
0.10x + 0.05(6 + -1x) = 0.10(11)
0.10x + (6 * 0.05 + -1x * 0.05) = 0.10(11)
0.10x + (0.3 + -0.05x) = 0.10(11)

Reorder the terms:
0.3 + 0.10x + -0.05x = 0.10(11)

Combine like terms: 0.10x + -0.05x = 0.05x
0.3 + 0.05x = 0.10(11)

Multiply 0.10 * 11
0.3 + 0.05x = 1.1

Solving
0.3 + 0.05x = 1.1

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.05x = 1.1 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.05x = 1.1 + -0.3
0.05x = 1.1 + -0.3

Combine like terms: 1.1 + -0.3 = 0.8
0.05x = 0.8

Divide each side by '0.05'.
x = 16

Simplifying
x = 16

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