Solve for x
x=7
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7\left(3x-1\right)=105+5x
Multiply both sides of the equation by 35, the least common multiple of 5,7.
21x-7=105+5x
Use the distributive property to multiply 7 by 3x-1.
21x-7-5x=105
Subtract 5x from both sides.
16x-7=105
Combine 21x and -5x to get 16x.
16x=105+7
Add 7 to both sides.
16x=112
Add 105 and 7 to get 112.
x=\frac{112}{16}
Divide both sides by 16.
x=7
Divide 112 by 16 to get 7.
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