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\left(x+5\right)\times 24-90=138
Multiply both sides of the equation by 6.
24x+120-90=138
Use the distributive property to multiply x+5 by 24.
24x+30=138
Subtract 90 from 120 to get 30.
24x=138-30
Subtract 30 from both sides.
24x=108
Subtract 30 from 138 to get 108.
x=\frac{108}{24}
Divide both sides by 24.
x=\frac{9}{2}
Reduce the fraction \frac{108}{24} to lowest terms by extracting and canceling out 12.