Solve for x
x=10
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5\left(3x-2\right)=7\left(x+10\right)
Multiply both sides of the equation by 70, the least common multiple of 14,10.
15x-10=7\left(x+10\right)
Use the distributive property to multiply 5 by 3x-2.
15x-10=7x+70
Use the distributive property to multiply 7 by x+10.
15x-10-7x=70
Subtract 7x from both sides.
8x-10=70
Combine 15x and -7x to get 8x.
8x=70+10
Add 10 to both sides.
8x=80
Add 70 and 10 to get 80.
x=\frac{80}{8}
Divide both sides by 8.
x=10
Divide 80 by 8 to get 10.
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