-5(4x+3)-9=-3(-3x+6)

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Solution for -5(4x+3)-9=-3(-3x+6) equation:


Simplifying
-5(4x + 3) + -9 = -3(-3x + 6)

Reorder the terms:
-5(3 + 4x) + -9 = -3(-3x + 6)
(3 * -5 + 4x * -5) + -9 = -3(-3x + 6)
(-15 + -20x) + -9 = -3(-3x + 6)

Reorder the terms:
-15 + -9 + -20x = -3(-3x + 6)

Combine like terms: -15 + -9 = -24
-24 + -20x = -3(-3x + 6)

Reorder the terms:
-24 + -20x = -3(6 + -3x)
-24 + -20x = (6 * -3 + -3x * -3)
-24 + -20x = (-18 + 9x)

Solving
-24 + -20x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + -20x + -9x = -18 + 9x + -9x

Combine like terms: -20x + -9x = -29x
-24 + -29x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -29x = -18 + 0
-24 + -29x = -18

Add '24' to each side of the equation.
-24 + 24 + -29x = -18 + 24

Combine like terms: -24 + 24 = 0
0 + -29x = -18 + 24
-29x = -18 + 24

Combine like terms: -18 + 24 = 6
-29x = 6

Divide each side by '-29'.
x = -0.2068965517

Simplifying
x = -0.2068965517

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