6(2.5x+1.5)+7.5(4x+5)=

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Solution for 6(2.5x+1.5)+7.5(4x+5)= equation: 


Simplifying
6(2.5x + 1.5) + 7.5(4x + 5) = 0

Reorder the terms:
6(1.5 + 2.5x) + 7.5(4x + 5) = 0
(1.5 * 6 + 2.5x * 6) + 7.5(4x + 5) = 0
(9 + 15x) + 7.5(4x + 5) = 0

Reorder the terms:
9 + 15x + 7.5(5 + 4x) = 0
9 + 15x + (5 * 7.5 + 4x * 7.5) = 0
9 + 15x + (37.5 + 30x) = 0

Reorder the terms:
9 + 37.5 + 15x + 30x = 0

Combine like terms: 9 + 37.5 = 46.5
46.5 + 15x + 30x = 0

Combine like terms: 15x + 30x = 45x
46.5 + 45x = 0

Solving
46.5 + 45x = 0

Solving for variable 'x'.

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

Add '-46.5' to each side of the equation.
46.5 + -46.5 + 45x = 0 + -46.5

Combine like terms: 46.5 + -46.5 = 0.0
0.0 + 45x = 0 + -46.5
45x = 0 + -46.5

Combine like terms: 0 + -46.5 = -46.5
45x = -46.5

Divide each side by '45'.
x = -1.033333333

Simplifying
x = -1.033333333

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