0.55x+0.05(4-x)=0.10(-78)

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Solution for 0.55x+0.05(4-x)=0.10(-78) equation: 


Simplifying
0.55x + 0.05(4 + -1x) = 0.10(-78)
0.55x + (4 * 0.05 + -1x * 0.05) = 0.10(-78)
0.55x + (0.2 + -0.05x) = 0.10(-78)

Reorder the terms:
0.2 + 0.55x + -0.05x = 0.10(-78)

Combine like terms: 0.55x + -0.05x = 0.5x
0.2 + 0.5x = 0.10(-78)

Multiply 0.10 * -78
0.2 + 0.5x = -7.8

Solving
0.2 + 0.5x = -7.8

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.5x = -7.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.5x = -7.8 + -0.2
0.5x = -7.8 + -0.2

Combine like terms: -7.8 + -0.2 = -8
0.5x = -8

Divide each side by '0.5'.
x = -16

Simplifying
x = -16

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