Solve for x
x=-6
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5\left(4x+10\right)=7\left(3x+8\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
20x+50=7\left(3x+8\right)
Use the distributive property to multiply 5 by 4x+10.
20x+50=21x+56
Use the distributive property to multiply 7 by 3x+8.
20x+50-21x=56
Subtract 21x from both sides.
-x+50=56
Combine 20x and -21x to get -x.
-x=56-50
Subtract 50 from both sides.
-x=6
Subtract 50 from 56 to get 6.
x=-6
Multiply both sides by -1.
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