Solve for x
x=2
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7\left(2x+1\right)+5\left(3x+1\right)=70
Multiply both sides of the equation by 35, the least common multiple of 5,7.
14x+7+5\left(3x+1\right)=70
Use the distributive property to multiply 7 by 2x+1.
14x+7+15x+5=70
Use the distributive property to multiply 5 by 3x+1.
29x+7+5=70
Combine 14x and 15x to get 29x.
29x+12=70
Add 7 and 5 to get 12.
29x=70-12
Subtract 12 from both sides.
29x=58
Subtract 12 from 70 to get 58.
x=\frac{58}{29}
Divide both sides by 29.
x=2
Divide 58 by 29 to get 2.
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