3(5x+2)+4(3x+5)=0

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Solution for 3(5x+2)+4(3x+5)=0 equation: 


Simplifying
3(5x + 2) + 4(3x + 5) = 0

Reorder the terms:
3(2 + 5x) + 4(3x + 5) = 0
(2 * 3 + 5x * 3) + 4(3x + 5) = 0
(6 + 15x) + 4(3x + 5) = 0

Reorder the terms:
6 + 15x + 4(5 + 3x) = 0
6 + 15x + (5 * 4 + 3x * 4) = 0
6 + 15x + (20 + 12x) = 0

Reorder the terms:
6 + 20 + 15x + 12x = 0

Combine like terms: 6 + 20 = 26
26 + 15x + 12x = 0

Combine like terms: 15x + 12x = 27x
26 + 27x = 0

Solving
26 + 27x = 0

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 27x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 27x = 0 + -26
27x = 0 + -26

Combine like terms: 0 + -26 = -26
27x = -26

Divide each side by '27'.
x = -0.962962963

Simplifying
x = -0.962962963

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