(1.1)(30)=(1.5)(x)+(.9)(30-x)

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Solution for (1.1)(30)=(1.5)(x)+(.9)(30-x) equation: 


Simplifying
(1.1)(30) = (1.5)(x) + (0.9)(30 + -1x)

Multiply 1.1 * 30
33 = (1.5)(x) + (0.9)(30 + -1x)
33 = 1.5x + (30 * 0.9 + -1x * 0.9)
33 = 1.5x + (27 + -0.9x)

Reorder the terms:
33 = 27 + 1.5x + -0.9x

Combine like terms: 1.5x + -0.9x = 0.6x
33 = 27 + 0.6x

Solving
33 = 27 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
33 + -0.6x = 27 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
33 + -0.6x = 27 + 0.0
33 + -0.6x = 27

Add '-33' to each side of the equation.
33 + -33 + -0.6x = 27 + -33

Combine like terms: 33 + -33 = 0
0 + -0.6x = 27 + -33
-0.6x = 27 + -33

Combine like terms: 27 + -33 = -6
-0.6x = -6

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

Simplifying
x = 10

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