Solve for x
x=10
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3\left(4x+5\right)=5\left(2x+7\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
12x+15=5\left(2x+7\right)
Use the distributive property to multiply 3 by 4x+5.
12x+15=10x+35
Use the distributive property to multiply 5 by 2x+7.
12x+15-10x=35
Subtract 10x from both sides.
2x+15=35
Combine 12x and -10x to get 2x.
2x=35-15
Subtract 15 from both sides.
2x=20
Subtract 15 from 35 to get 20.
x=\frac{20}{2}
Divide both sides by 2.
x=10
Divide 20 by 2 to get 10.
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