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

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


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

Reorder the terms:
4 + -6x = 3(5 + 2x)
4 + -6x = (5 * 3 + 2x * 3)
4 + -6x = (15 + 6x)

Solving
4 + -6x = 15 + 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.
4 + -6x + -6x = 15 + 6x + -6x

Combine like terms: -6x + -6x = -12x
4 + -12x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -12x = 15 + 0
4 + -12x = 15

Add '-4' to each side of the equation.
4 + -4 + -12x = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -12x = 15 + -4
-12x = 15 + -4

Combine like terms: 15 + -4 = 11
-12x = 11

Divide each side by '-12'.
x = -0.9166666667

Simplifying
x = -0.9166666667

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