.4x+.05(8-x)=.1(25)

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Solution for .4x+.05(8-x)=.1(25) equation:


Simplifying
0.4x + 0.05(8 + -1x) = 0.1(25)
0.4x + (8 * 0.05 + -1x * 0.05) = 0.1(25)
0.4x + (0.4 + -0.05x) = 0.1(25)

Reorder the terms:
0.4 + 0.4x + -0.05x = 0.1(25)

Combine like terms: 0.4x + -0.05x = 0.35x
0.4 + 0.35x = 0.1(25)

Multiply 0.1 * 25
0.4 + 0.35x = 2.5

Solving
0.4 + 0.35x = 2.5

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 + 0.35x = 2.5 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.35x = 2.5 + -0.4
0.35x = 2.5 + -0.4

Combine like terms: 2.5 + -0.4 = 2.1
0.35x = 2.1

Divide each side by '0.35'.
x = 6

Simplifying
x = 6

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