How do you solve #4.3(2x-3)+2.8=9.5x-3#?

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Answer 1 · 2018-04-06T03:23:12

#x = -7 8/9# or about #-7.889#

Here's how I did it:

#4.3(2x-3) + 2.8 = 9.5x - 3#

First, let's look at #4.3(2x-3)#. To simplify, we "distribute" or multiply the #4.3# with everything inside the parenthesis:
#4.3 * 2x = 8.6x#

#4.3 * -3 = -12.9#

Now let's put these back into the equation:
#8.6x - 12.9 + 2.8 = 9.5x - 3#

Now we combine like terms and simplify:
#8.6x -10.1 = 9.5x - 3#

Add #10.1# to both sides of the equation:
#8.6x = 9.5x + 7.1#

Subtract #9.5x# from both sides of the equation:
#-0.9x = 7.1#

Finally, divide both sides by #-0.9# to get the value of #x#:
#x = -7 8/9# or about #-7.889#