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

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


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

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

Reorder the terms:
9 + 15x = -4(-5 + 3x)
9 + 15x = (-5 * -4 + 3x * -4)
9 + 15x = (20 + -12x)

Solving
9 + 15x = 20 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
9 + 15x + 12x = 20 + -12x + 12x

Combine like terms: 15x + 12x = 27x
9 + 27x = 20 + -12x + 12x

Combine like terms: -12x + 12x = 0
9 + 27x = 20 + 0
9 + 27x = 20

Add '-9' to each side of the equation.
9 + -9 + 27x = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 27x = 20 + -9
27x = 20 + -9

Combine like terms: 20 + -9 = 11
27x = 11

Divide each side by '27'.
x = 0.4074074074

Simplifying
x = 0.4074074074

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