.65x+.05(20-x)=.10(-50)

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Solution for .65x+.05(20-x)=.10(-50) equation:


Simplifying
0.65x + 0.05(20 + -1x) = 0.10(-50)
0.65x + (20 * 0.05 + -1x * 0.05) = 0.10(-50)
0.65x + (1 + -0.05x) = 0.10(-50)

Reorder the terms:
1 + 0.65x + -0.05x = 0.10(-50)

Combine like terms: 0.65x + -0.05x = 0.6x
1 + 0.6x = 0.10(-50)

Multiply 0.10 * -50
1 + 0.6x = -5

Solving
1 + 0.6x = -5

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 + 0.6x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 0.6x = -5 + -1
0.6x = -5 + -1

Combine like terms: -5 + -1 = -6
0.6x = -6

Divide each side by '0.6'.
x = -10

Simplifying
x = -10

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