Solve for x
x=7
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4\left(2x-5\right)=3\left(x+5\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x-20=3\left(x+5\right)
Use the distributive property to multiply 4 by 2x-5.
8x-20=3x+15
Use the distributive property to multiply 3 by x+5.
8x-20-3x=15
Subtract 3x from both sides.
5x-20=15
Combine 8x and -3x to get 5x.
5x=15+20
Add 20 to both sides.
5x=35
Add 15 and 20 to get 35.
x=\frac{35}{5}
Divide both sides by 5.
x=7
Divide 35 by 5 to get 7.
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