.1(x)+.06(20-x)=.08(20)

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Solution for .1(x)+.06(20-x)=.08(20) equation:


Simplifying
0.1(x) + 0.06(20 + -1x) = 0.08(20)
0.1x + (20 * 0.06 + -1x * 0.06) = 0.08(20)
0.1x + (1.2 + -0.06x) = 0.08(20)

Reorder the terms:
1.2 + 0.1x + -0.06x = 0.08(20)

Combine like terms: 0.1x + -0.06x = 0.04x
1.2 + 0.04x = 0.08(20)

Multiply 0.08 * 20
1.2 + 0.04x = 1.6

Solving
1.2 + 0.04x = 1.6

Solving for variable 'x'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.04x = 1.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.04x = 1.6 + -1.2
0.04x = 1.6 + -1.2

Combine like terms: 1.6 + -1.2 = 0.4
0.04x = 0.4

Divide each side by '0.04'.
x = 10

Simplifying
x = 10

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