0.45(x+60)+0.5(x+65)=-59.25

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Solution for 0.45(x+60)+0.5(x+65)=-59.25 equation: 


Simplifying
0.45(x + 60) + 0.5(x + 65) = -59.25

Reorder the terms:
0.45(60 + x) + 0.5(x + 65) = -59.25
(60 * 0.45 + x * 0.45) + 0.5(x + 65) = -59.25
(27 + 0.45x) + 0.5(x + 65) = -59.25

Reorder the terms:
27 + 0.45x + 0.5(65 + x) = -59.25
27 + 0.45x + (65 * 0.5 + x * 0.5) = -59.25
27 + 0.45x + (32.5 + 0.5x) = -59.25

Reorder the terms:
27 + 32.5 + 0.45x + 0.5x = -59.25

Combine like terms: 27 + 32.5 = 59.5
59.5 + 0.45x + 0.5x = -59.25

Combine like terms: 0.45x + 0.5x = 0.95x
59.5 + 0.95x = -59.25

Solving
59.5 + 0.95x = -59.25

Solving for variable 'x'.

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

Add '-59.5' to each side of the equation.
59.5 + -59.5 + 0.95x = -59.25 + -59.5

Combine like terms: 59.5 + -59.5 = 0.0
0.0 + 0.95x = -59.25 + -59.5
0.95x = -59.25 + -59.5

Combine like terms: -59.25 + -59.5 = -118.75
0.95x = -118.75

Divide each side by '0.95'.
x = -125

Simplifying
x = -125

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