Answer:x=−0.142857
[tex]x=\frac{-1}{7}[/tex]
Step-by-step explanation:
2.4(3x+4)=5.1x+9.3
Use the distributive property to multiply 2.4 by 3x+4.
7.2x+9.6=5.1x+9.3
Subtract 5.1x from both sides.
7.2x+9.6−5.1x=9.3
Combine 7.2x and −5.1x to get 2.1x.
2.1x+9.6=9.3
Subtract 9.6 from both sides.
2.1x=9.3−9.6
Subtract 9.6 from 9.3 to get −0.3.
2.1x=−0.3
Divide both sides by 2.1
[tex]\frac{-0.3}{2.1}[/tex]
Expand 2.1/−0.3 by multiplying both numerator and the denominator by 10.
[tex]x=\frac{-3}{21}[/tex]
Reduce the fraction 21/−3 to the lowest terms by extracting and canceling out 3.
[tex]x=\frac{-1}{7}[/tex]
Hope this helps !
