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2\left(x-3\right)+3x-4=4x-2
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x-6+3x-4=4x-2
Use the distributive property to multiply 2 by x-3.
5x-6-4=4x-2
Combine 2x and 3x to get 5x.
5x-10=4x-2
Subtract 4 from -6 to get -10.
5x-10-4x=-2
Subtract 4x from both sides.
x-10=-2
Combine 5x and -4x to get x.
x=-2+10
Add 10 to both sides.
x=8
Add -2 and 10 to get 8.