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6x-3=5-\left(3x-2\right)\times 2
Use the distributive property to multiply 3 by 2x-1.
6x-3=5-\left(6x-4\right)
Use the distributive property to multiply 3x-2 by 2.
6x-3=5-6x-\left(-4\right)
To find the opposite of 6x-4, find the opposite of each term.
6x-3=5-6x+4
The opposite of -4 is 4.
6x-3=9-6x
Add 5 and 4 to get 9.
6x-3+6x=9
Add 6x to both sides.
12x-3=9
Combine 6x and 6x to get 12x.
12x=9+3
Add 3 to both sides.
12x=12
Add 9 and 3 to get 12.
x=\frac{12}{12}
Divide both sides by 12.
x=1
Divide 12 by 12 to get 1.