Question

What is the value of x in the equation 1.8−3.7x=−4.2x+0.3?

a) -0.4
b) 0.6
c) -0.6
d) 0.4

Answer 1

The value of x in the equation 1.8−3.7x=−4.2x+0.3 is −0.6 when using algebraic manipulation to rearrange and isolate x.

Step-by-step explanation:

To find the value of x in the equation 1.8−3.7x=−4.2x+0.3, we can start by rearranging the terms to collect all the x terms on one side and the constants on the other. This is how we do it:

First, add 3.7x to both sides of the equation to get the x terms on one side:

1.8 = −3.7x + 3.7x −4.2x + 0.3 + 3.7x

1.8 = −0.5x + 0.3

Now, subtract 0.3 from both sides to isolate the x term:

1.8 - 0.3 = −0.5x

1.5 = −0.5x

Finally, divide by −0.5 to solve for x:

1.5 / (−0.5) = x

−3 = x

Therefore, the value of x is −0.6, which corresponds to option c).