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30x\times 6+2\times 4x+24=150x
Multiply both sides of the equation by 6.
180x+2\times 4x+24=150x
Multiply 30 and 6 to get 180.
180x+8x+24=150x
Multiply 2 and 4 to get 8.
188x+24=150x
Combine 180x and 8x to get 188x.
188x+24-150x=0
Subtract 150x from both sides.
38x+24=0
Combine 188x and -150x to get 38x.
38x=-24
Subtract 24 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-24}{38}
Divide both sides by 38.
x=-\frac{12}{19}
Reduce the fraction \frac{-24}{38} to lowest terms by extracting and canceling out 2.