.45x+.05(10-x)=.10(-3)

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Solution for .45x+.05(10-x)=.10(-3) equation:


Simplifying
0.45x + 0.05(10 + -1x) = 0.10(-3)
0.45x + (10 * 0.05 + -1x * 0.05) = 0.10(-3)
0.45x + (0.5 + -0.05x) = 0.10(-3)

Reorder the terms:
0.5 + 0.45x + -0.05x = 0.10(-3)

Combine like terms: 0.45x + -0.05x = 0.4x
0.5 + 0.4x = 0.10(-3)

Multiply 0.10 * -3
0.5 + 0.4x = -0.3

Solving
0.5 + 0.4x = -0.3

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.4x = -0.3 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.4x = -0.3 + -0.5
0.4x = -0.3 + -0.5

Combine like terms: -0.3 + -0.5 = -0.8
0.4x = -0.8

Divide each side by '0.4'.
x = -2

Simplifying
x = -2

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