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

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


Simplifying
3(2 + -5x) = 2(3x + 2)
(2 * 3 + -5x * 3) = 2(3x + 2)
(6 + -15x) = 2(3x + 2)

Reorder the terms:
6 + -15x = 2(2 + 3x)
6 + -15x = (2 * 2 + 3x * 2)
6 + -15x = (4 + 6x)

Solving
6 + -15x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + -15x + -6x = 4 + 6x + -6x

Combine like terms: -15x + -6x = -21x
6 + -21x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -21x = 4 + 0
6 + -21x = 4

Add '-6' to each side of the equation.
6 + -6 + -21x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -21x = 4 + -6
-21x = 4 + -6

Combine like terms: 4 + -6 = -2
-21x = -2

Divide each side by '-21'.
x = 0.09523809524

Simplifying
x = 0.09523809524

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