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2\left(9x-4\right)=8x+2
Multiply both sides of the equation by 10, the least common multiple of 5,10.
18x-8=8x+2
Use the distributive property to multiply 2 by 9x-4.
18x-8-8x=2
Subtract 8x from both sides.
10x-8=2
Combine 18x and -8x to get 10x.
10x=2+8
Add 8 to both sides.
10x=10
Add 2 and 8 to get 10.
x=\frac{10}{10}
Divide both sides by 10.
x=1
Divide 10 by 10 to get 1.