Solve for x
x=1
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5\left(3x+1\right)-2\left(x-1\right)=20
Multiply both sides of the equation by 10, the least common multiple of 2,5.
15x+5-2\left(x-1\right)=20
Use the distributive property to multiply 5 by 3x+1.
15x+5-2x+2=20
Use the distributive property to multiply -2 by x-1.
13x+5+2=20
Combine 15x and -2x to get 13x.
13x+7=20
Add 5 and 2 to get 7.
13x=20-7
Subtract 7 from both sides.
13x=13
Subtract 7 from 20 to get 13.
x=\frac{13}{13}
Divide both sides by 13.
x=1
Divide 13 by 13 to get 1.
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