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4x+1\times 4+3=2\left(7\times 2+1\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
4x+4+3=2\left(7\times 2+1\right)
Multiply 1 and 4 to get 4.
4x+7=2\left(7\times 2+1\right)
Add 4 and 3 to get 7.
4x+7=2\left(14+1\right)
Multiply 7 and 2 to get 14.
4x+7=2\times 15
Add 14 and 1 to get 15.
4x+7=30
Multiply 2 and 15 to get 30.
4x=30-7
Subtract 7 from both sides.
4x=23
Subtract 7 from 30 to get 23.
x=\frac{23}{4}
Divide both sides by 4.