Solve for x
x=6
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5x-3+\left(x-1\right)\times 2=37
Variable x cannot be equal to any of the values \frac{3}{5},1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(5x-3\right), the least common multiple of x-1,5x-3,5x^{2}-8x+3.
5x-3+2x-2=37
Use the distributive property to multiply x-1 by 2.
7x-3-2=37
Combine 5x and 2x to get 7x.
7x-5=37
Subtract 2 from -3 to get -5.
7x=37+5
Add 5 to both sides.
7x=42
Add 37 and 5 to get 42.
x=\frac{42}{7}
Divide both sides by 7.
x=6
Divide 42 by 7 to get 6.
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