Solve for x
x=8
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7\left(2x+4\right)=5\left(3x+4\right)
Variable x cannot be equal to -\frac{4}{3} since division by zero is not defined. Multiply both sides of the equation by 7\left(3x+4\right), the least common multiple of 3x+4,7.
14x+28=5\left(3x+4\right)
Use the distributive property to multiply 7 by 2x+4.
14x+28=15x+20
Use the distributive property to multiply 5 by 3x+4.
14x+28-15x=20
Subtract 15x from both sides.
-x+28=20
Combine 14x and -15x to get -x.
-x=20-28
Subtract 28 from both sides.
-x=-8
Subtract 28 from 20 to get -8.
x=8
Multiply both sides by -1.
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