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

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


Simplifying
3(3 + -2x) = 2(3x + 5)
(3 * 3 + -2x * 3) = 2(3x + 5)
(9 + -6x) = 2(3x + 5)

Reorder the terms:
9 + -6x = 2(5 + 3x)
9 + -6x = (5 * 2 + 3x * 2)
9 + -6x = (10 + 6x)

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

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

Combine like terms: 6x + -6x = 0
9 + -12x = 10 + 0
9 + -12x = 10

Add '-9' to each side of the equation.
9 + -9 + -12x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -12x = 10 + -9
-12x = 10 + -9

Combine like terms: 10 + -9 = 1
-12x = 1

Divide each side by '-12'.
x = -0.08333333333

Simplifying
x = -0.08333333333

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