1x+(0.4)(55-x)=(0.75)(55)

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Solution for 1x+(0.4)(55-x)=(0.75)(55) equation: 


Simplifying
1x + (0.4)(55 + -1x) = (0.75)(55)
1x + (55 * 0.4 + -1x * 0.4) = (0.75)(55)
1x + (22 + -0.4x) = (0.75)(55)

Reorder the terms:
22 + 1x + -0.4x = (0.75)(55)

Combine like terms: 1x + -0.4x = 0.6x
22 + 0.6x = (0.75)(55)

Multiply 0.75 * 55
22 + 0.6x = 41.25

Solving
22 + 0.6x = 41.25

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 0.6x = 41.25 + -22

Combine like terms: 22 + -22 = 0
0 + 0.6x = 41.25 + -22
0.6x = 41.25 + -22

Combine like terms: 41.25 + -22 = 19.25
0.6x = 19.25

Divide each side by '0.6'.
x = 32.08333333

Simplifying
x = 32.08333333

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