Question

What is the value of x in the equation? ^-2.4(3x+4)=^-5.1x + 9.3?

Answer 1

Answer:x=−0.142857

`x=(-1)/(7)`

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

`(-0.3)/(2.1)`

Expand 2.1/−0.3 by multiplying both numerator and the denominator by 10.

`x=(-3)/(21)`

Reduce the fraction 21/−3 to the lowest terms by extracting and canceling out 3.

`x=(-1)/(7)`

Hope this helps !