.55x+.05(20-x)=.10(-40)

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Solution for .55x+.05(20-x)=.10(-40) equation:


Simplifying
0.55x + 0.05(20 + -1x) = 0.10(-40)
0.55x + (20 * 0.05 + -1x * 0.05) = 0.10(-40)
0.55x + (1 + -0.05x) = 0.10(-40)

Reorder the terms:
1 + 0.55x + -0.05x = 0.10(-40)

Combine like terms: 0.55x + -0.05x = 0.5x
1 + 0.5x = 0.10(-40)

Multiply 0.10 * -40
1 + 0.5x = -4

Solving
1 + 0.5x = -4

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 + 0.5x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5x = -4 + -1
0.5x = -4 + -1

Combine like terms: -4 + -1 = -5
0.5x = -5

Divide each side by '0.5'.
x = -10

Simplifying
x = -10

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