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

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


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

Reorder the terms:
2(-4 + 3x) + 3(2x + 5) = 0
(-4 * 2 + 3x * 2) + 3(2x + 5) = 0
(-8 + 6x) + 3(2x + 5) = 0

Reorder the terms:
-8 + 6x + 3(5 + 2x) = 0
-8 + 6x + (5 * 3 + 2x * 3) = 0
-8 + 6x + (15 + 6x) = 0

Reorder the terms:
-8 + 15 + 6x + 6x = 0

Combine like terms: -8 + 15 = 7
7 + 6x + 6x = 0

Combine like terms: 6x + 6x = 12x
7 + 12x = 0

Solving
7 + 12x = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 12x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 0 + -7
12x = 0 + -7

Combine like terms: 0 + -7 = -7
12x = -7

Divide each side by '12'.
x = -0.5833333333

Simplifying
x = -0.5833333333

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