Solve for x
x=4
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7\left(3x+24\right)+4\left(x+24\right)=364
Multiply both sides of the equation by 28, the least common multiple of 4,7.
21x+168+4\left(x+24\right)=364
Use the distributive property to multiply 7 by 3x+24.
21x+168+4x+96=364
Use the distributive property to multiply 4 by x+24.
25x+168+96=364
Combine 21x and 4x to get 25x.
25x+264=364
Add 168 and 96 to get 264.
25x=364-264
Subtract 264 from both sides.
25x=100
Subtract 264 from 364 to get 100.
x=\frac{100}{25}
Divide both sides by 25.
x=4
Divide 100 by 25 to get 4.
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