0.90x+.05(8-x)=.10(-30)

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Solution for 0.90x+.05(8-x)=.10(-30) equation: 


Simplifying
0.90x + 0.05(8 + -1x) = 0.10(-30)
0.90x + (8 * 0.05 + -1x * 0.05) = 0.10(-30)
0.90x + (0.4 + -0.05x) = 0.10(-30)

Reorder the terms:
0.4 + 0.90x + -0.05x = 0.10(-30)

Combine like terms: 0.90x + -0.05x = 0.85x
0.4 + 0.85x = 0.10(-30)

Multiply 0.10 * -30
0.4 + 0.85x = -3

Solving
0.4 + 0.85x = -3

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.85x = -3 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.85x = -3 + -0.4
0.85x = -3 + -0.4

Combine like terms: -3 + -0.4 = -3.4
0.85x = -3.4

Divide each side by '0.85'.
x = -4

Simplifying
x = -4

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