3(-3x-2)=5(4x+9)

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Solution for 3(-3x-2)=5(4x+9) equation:


Simplifying
3(-3x + -2) = 5(4x + 9)

Reorder the terms:
3(-2 + -3x) = 5(4x + 9)
(-2 * 3 + -3x * 3) = 5(4x + 9)
(-6 + -9x) = 5(4x + 9)

Reorder the terms:
-6 + -9x = 5(9 + 4x)
-6 + -9x = (9 * 5 + 4x * 5)
-6 + -9x = (45 + 20x)

Solving
-6 + -9x = 45 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + -9x + -20x = 45 + 20x + -20x

Combine like terms: -9x + -20x = -29x
-6 + -29x = 45 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -29x = 45 + 0
-6 + -29x = 45

Add '6' to each side of the equation.
-6 + 6 + -29x = 45 + 6

Combine like terms: -6 + 6 = 0
0 + -29x = 45 + 6
-29x = 45 + 6

Combine like terms: 45 + 6 = 51
-29x = 51

Divide each side by '-29'.
x = -1.75862069

Simplifying
x = -1.75862069

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