.10x+.05(8-x)=.10(10)

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Solution for .10x+.05(8-x)=.10(10) equation:


Simplifying
0.10x + 0.05(8 + -1x) = 0.10(10)
0.10x + (8 * 0.05 + -1x * 0.05) = 0.10(10)
0.10x + (0.4 + -0.05x) = 0.10(10)

Reorder the terms:
0.4 + 0.10x + -0.05x = 0.10(10)

Combine like terms: 0.10x + -0.05x = 0.05x
0.4 + 0.05x = 0.10(10)

Multiply 0.10 * 10
0.4 + 0.05x = 1

Solving
0.4 + 0.05x = 1

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 + 0.05x = 1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.05x = 1 + -0.4
0.05x = 1 + -0.4

Combine like terms: 1 + -0.4 = 0.6
0.05x = 0.6

Divide each side by '0.05'.
x = 12

Simplifying
x = 12

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