1x+.80(50-x)=.95(50)

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Solution for 1x+.80(50-x)=.95(50) equation:


Simplifying
1x + 0.80(50 + -1x) = 0.95(50)
1x + (50 * 0.80 + -1x * 0.80) = 0.95(50)
1x + (40 + -0.8x) = 0.95(50)

Reorder the terms:
40 + 1x + -0.8x = 0.95(50)

Combine like terms: 1x + -0.8x = 0.2x
40 + 0.2x = 0.95(50)

Multiply 0.95 * 50
40 + 0.2x = 47.5

Solving
40 + 0.2x = 47.5

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 0.2x = 47.5 + -40

Combine like terms: 40 + -40 = 0
0 + 0.2x = 47.5 + -40
0.2x = 47.5 + -40

Combine like terms: 47.5 + -40 = 7.5
0.2x = 7.5

Divide each side by '0.2'.
x = 37.5

Simplifying
x = 37.5

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