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5\left(3x-7\right)=8x
Multiply both sides of the equation by 10, the least common multiple of 2,5.
15x-35=8x
Use the distributive property to multiply 5 by 3x-7.
15x-35-8x=0
Subtract 8x from both sides.
7x-35=0
Combine 15x and -8x to get 7x.
7x=35
Add 35 to both sides. Anything plus zero gives itself.
x=\frac{35}{7}
Divide both sides by 7.
x=5
Divide 35 by 7 to get 5.