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

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


Simplifying
2(3 + -5x) = 3(3x + 4)
(3 * 2 + -5x * 2) = 3(3x + 4)
(6 + -10x) = 3(3x + 4)

Reorder the terms:
6 + -10x = 3(4 + 3x)
6 + -10x = (4 * 3 + 3x * 3)
6 + -10x = (12 + 9x)

Solving
6 + -10x = 12 + 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.
6 + -10x + -9x = 12 + 9x + -9x

Combine like terms: -10x + -9x = -19x
6 + -19x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -19x = 12 + 0
6 + -19x = 12

Add '-6' to each side of the equation.
6 + -6 + -19x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -19x = 12 + -6
-19x = 12 + -6

Combine like terms: 12 + -6 = 6
-19x = 6

Divide each side by '-19'.
x = -0.3157894737

Simplifying
x = -0.3157894737

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