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

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


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

Reorder the terms:
2(-5 + 3x) = 3(4 + -2x)
(-5 * 2 + 3x * 2) = 3(4 + -2x)
(-10 + 6x) = 3(4 + -2x)
-10 + 6x = (4 * 3 + -2x * 3)
-10 + 6x = (12 + -6x)

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

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

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

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

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

Combine like terms: 12 + 10 = 22
12x = 22

Divide each side by '12'.
x = 1.833333333

Simplifying
x = 1.833333333

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