2(3x+4)+5(-3x-6)=

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Solution for 2(3x+4)+5(-3x-6)= equation:


Simplifying
2(3x + 4) + 5(-3x + -6) = 0

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

Reorder the terms:
8 + 6x + 5(-6 + -3x) = 0
8 + 6x + (-6 * 5 + -3x * 5) = 0
8 + 6x + (-30 + -15x) = 0

Reorder the terms:
8 + -30 + 6x + -15x = 0

Combine like terms: 8 + -30 = -22
-22 + 6x + -15x = 0

Combine like terms: 6x + -15x = -9x
-22 + -9x = 0

Solving
-22 + -9x = 0

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + -9x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -9x = 0 + 22
-9x = 0 + 22

Combine like terms: 0 + 22 = 22
-9x = 22

Divide each side by '-9'.
x = -2.444444444

Simplifying
x = -2.444444444

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