Solve for x
x = -\frac{27}{4} = -6\frac{3}{4} = -6.75
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3\left(6x+8\right)+30=2\times 5x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
18x+24+30=2\times 5x
Use the distributive property to multiply 3 by 6x+8.
18x+54=2\times 5x
Add 24 and 30 to get 54.
18x+54=10x
Multiply 2 and 5 to get 10.
18x+54-10x=0
Subtract 10x from both sides.
8x+54=0
Combine 18x and -10x to get 8x.
8x=-54
Subtract 54 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-54}{8}
Divide both sides by 8.
x=-\frac{27}{4}
Reduce the fraction \frac{-54}{8} to lowest terms by extracting and canceling out 2.
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