.25x+.05(20-x)=.10(6)

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Solution for .25x+.05(20-x)=.10(6) equation:


Simplifying
0.25x + 0.05(20 + -1x) = 0.10(6)
0.25x + (20 * 0.05 + -1x * 0.05) = 0.10(6)
0.25x + (1 + -0.05x) = 0.10(6)

Reorder the terms:
1 + 0.25x + -0.05x = 0.10(6)

Combine like terms: 0.25x + -0.05x = 0.2x
1 + 0.2x = 0.10(6)

Multiply 0.10 * 6
1 + 0.2x = 0.6

Solving
1 + 0.2x = 0.6

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.2x = 0.6 + -1

Combine like terms: 1 + -1 = 0
0 + 0.2x = 0.6 + -1
0.2x = 0.6 + -1

Combine like terms: 0.6 + -1 = -0.4
0.2x = -0.4

Divide each side by '0.2'.
x = -2

Simplifying
x = -2

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