Solve for x
x=-3
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5\left(3x+2\right)=7\left(x-2\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
15x+10=7\left(x-2\right)
Use the distributive property to multiply 5 by 3x+2.
15x+10=7x-14
Use the distributive property to multiply 7 by x-2.
15x+10-7x=-14
Subtract 7x from both sides.
8x+10=-14
Combine 15x and -7x to get 8x.
8x=-14-10
Subtract 10 from both sides.
8x=-24
Subtract 10 from -14 to get -24.
x=\frac{-24}{8}
Divide both sides by 8.
x=-3
Divide -24 by 8 to get -3.
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