Solve for x
x=6
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5\left(3x-4\right)=7\left(x+4\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
15x-20=7\left(x+4\right)
Use the distributive property to multiply 5 by 3x-4.
15x-20=7x+28
Use the distributive property to multiply 7 by x+4.
15x-20-7x=28
Subtract 7x from both sides.
8x-20=28
Combine 15x and -7x to get 8x.
8x=28+20
Add 20 to both sides.
8x=48
Add 28 and 20 to get 48.
x=\frac{48}{8}
Divide both sides by 8.
x=6
Divide 48 by 8 to get 6.
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