Question

4-2(x+7)=3(x+5) solve the equation

Answer 1

-5

Explanation:

Answer 2

Our first step is to distribute/expand in the brackets so we are able to isolate x-term.

`\large{4 - 2x - 14 = 3x + 15}`

I hope you still remember that when multiplying positive with negative, it becomes negative. Then we combine like terms - we isolate the 2x by adding 2x both sides and subtract both sides by 15.

`\large{4 - 2x - 14 + 2x - 15 = 3x + 15 + 2x - 15} \\ \large{ - 25 = 5x}`

Then to divide both sides by 5 so we can finally get the x-term isolated.

`\large{ ( - 25)/(5) = (5x)/(5) \longrightarrow - 5 = x}`

Dividing the negative by positive results in negative as well! Next step is optional, which is about checking the answer. To check the answer if it's right or not, we can do by substituting x = -5 in the equation and solve until these two outcomes may occur:

• Both sides are different (Ex. 2 = 5). This means that the answer is not correct or not a part of the equation.
• Both sides are equal/same (Ex. 4 = 4). This means that the answer is correct and a part of the equation.

`\large{4 - 2(x + 7) = 3(x + 5)}`

From the given equation above, substitute the value of x which is -5 in the equation.

`\large{4 - 2( - 5 + 7) = 3( - 5 + 5)}`

Evalute/Simplify:

`\large{4 - 2(2) = 3(0) \longrightarrow 4 - 4 = 0} \\ \large \boxed{0 = 0}`

Since both sides are equal or same. Thus the solution to this equation is x = -5.

Answer

• x = -5

I hope this helps! If you have any doubts or questions, don't hestitate to ask in the comment! Good luck on your assignment and have a great day! :)