1.50x+(1.10)(30)=(.90)(x+30)

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Solution for 1.50x+(1.10)(30)=(.90)(x+30) equation: 


Simplifying
1.50x + (1.10)(30) = (0.90)(x + 30)

Multiply 1.10 * 30
1.50x + 33 = (0.90)(x + 30)

Reorder the terms:
33 + 1.50x = (0.90)(x + 30)

Reorder the terms:
33 + 1.50x = 0.90(30 + x)
33 + 1.50x = (30 * 0.90 + x * 0.90)
33 + 1.50x = (27 + 0.90x)

Solving
33 + 1.50x = 27 + 0.90x

Solving for variable 'x'.

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

Add '-0.90x' to each side of the equation.
33 + 1.50x + -0.90x = 27 + 0.90x + -0.90x

Combine like terms: 1.50x + -0.90x = 0.6x
33 + 0.6x = 27 + 0.90x + -0.90x

Combine like terms: 0.90x + -0.90x = 0.00
33 + 0.6x = 27 + 0.00
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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