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2\times 3x+4x-8=1+8x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
6x+4x-8=1+8x
Multiply 2 and 3 to get 6.
10x-8=1+8x
Combine 6x and 4x to get 10x.
10x-8-8x=1
Subtract 8x from both sides.
2x-8=1
Combine 10x and -8x to get 2x.
2x=1+8
Add 8 to both sides.
2x=9
Add 1 and 8 to get 9.
x=\frac{9}{2}
Divide both sides by 2.