Solve for x
x = \frac{144}{19} = 7\frac{11}{19} \approx 7.578947368
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576=16\left(4x+9\right)-7x
Multiply both sides of the equation by 8.
576=64x+144-7x
Use the distributive property to multiply 16 by 4x+9.
576=57x+144
Combine 64x and -7x to get 57x.
57x+144=576
Swap sides so that all variable terms are on the left hand side.
57x=576-144
Subtract 144 from both sides.
57x=432
Subtract 144 from 576 to get 432.
x=\frac{432}{57}
Divide both sides by 57.
x=\frac{144}{19}
Reduce the fraction \frac{432}{57} to lowest terms by extracting and canceling out 3.
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