Solve for x
x=\frac{9}{11}\approx 0.818181818
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3\left(x+5\right)=48-8\left(x+3\right)
Multiply both sides of the equation by 24, the least common multiple of 8,3.
3x+15=48-8\left(x+3\right)
Use the distributive property to multiply 3 by x+5.
3x+15=48-8x-24
Use the distributive property to multiply -8 by x+3.
3x+15=24-8x
Subtract 24 from 48 to get 24.
3x+15+8x=24
Add 8x to both sides.
11x+15=24
Combine 3x and 8x to get 11x.
11x=24-15
Subtract 15 from both sides.
11x=9
Subtract 15 from 24 to get 9.
x=\frac{9}{11}
Divide both sides by 11.
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