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Morganwing1019
10.11.2020 •
Mathematics
Solve for the value of x in this equation: -10x+17x-2 = 5(x+4)
I need help ASAP
Needs to be step by step
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Ответ:
Step-by-step explanation:
Subtract 10x from 17x
10x and 17x are like terms. So, the coefficients of like terms can be added or subtracted.
Distribute 5 through the parentheses
Move 5x to left hand side ( L.H.S ) and change it's sign
Similarly , move 2 to right hand side ( R.H.S ) and change it's sign
Subtract 5x from 7x
Add the numbers : 20 and 2
Divide both sides by 2
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Now, let's check whether the value of x is 11 or not.
Verification :L.H.S = n![\sf{ - 10x + 17x - 2}](/tpl/images/0883/5853/37e02.png)
Plug the value of x and simplify
R.H.S =![\sf{5(x + 4)}](/tpl/images/0883/5853/a5891.png)
plug the value of x and simplify
L.H.S = R.H.S
The value of x is 11 .
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Rules for solving an equation :If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + 'Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Best regards :D
~![\text{TheAnimeGirl}](/tpl/images/0883/5853/18c2f.png)
Ответ:
The answer is:
(x+6) (x+8)