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

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


Simplifying
3(4 + -5x) = 2(3x + 4)
(4 * 3 + -5x * 3) = 2(3x + 4)
(12 + -15x) = 2(3x + 4)

Reorder the terms:
12 + -15x = 2(4 + 3x)
12 + -15x = (4 * 2 + 3x * 2)
12 + -15x = (8 + 6x)

Solving
12 + -15x = 8 + 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.
12 + -15x + -6x = 8 + 6x + -6x

Combine like terms: -15x + -6x = -21x
12 + -21x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -21x = 8 + 0
12 + -21x = 8

Add '-12' to each side of the equation.
12 + -12 + -21x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -21x = 8 + -12
-21x = 8 + -12

Combine like terms: 8 + -12 = -4
-21x = -4

Divide each side by '-21'.
x = 0.1904761905

Simplifying
x = 0.1904761905

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