Solve for x
x=19
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3\left(3x-1\right)=7\left(x+5\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+5\right), the least common multiple of x+5,3.
9x-3=7\left(x+5\right)
Use the distributive property to multiply 3 by 3x-1.
9x-3=7x+35
Use the distributive property to multiply 7 by x+5.
9x-3-7x=35
Subtract 7x from both sides.
2x-3=35
Combine 9x and -7x to get 2x.
2x=35+3
Add 3 to both sides.
2x=38
Add 35 and 3 to get 38.
x=\frac{38}{2}
Divide both sides by 2.
x=19
Divide 38 by 2 to get 19.
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