Question

3 − 5(x + 2) = 3(x + 1) + 6

In your own words, explain the process for solving this equation. Please include your work at each step of the process along with the final answer.

Answer 1

First reminder the student about order of operations.
3-5*(x+2)=3*(x+1)+6 first step multiply the coefficients of the parenthetical expressions first.
3-5x-10=3x+3+6 Next collect similar terms.
-5x-7=3x+9 Next move the variables to the same side.
+5x=+5x
7=8x+9 now move the nine across
7-9=8x
-2=8x
-2/8=x
-1/4=x

Answer 2

Move all terms not containing x to the right side of the equation.
-5(x+2)=3x+6

Multiply -5 by each term inside the parentheses.
-5x-10=3x+6

Move terms not containing x to the right side of the equation.
-8x-10=6

Move all terms not containg x to the righthand side of the equation.
-8x=16

Divide each term in the equation by -8.
x=-2

Answer 3

You distribute the numbers outside the parenthesis first:

3-5x-10=3x+3+6
now you add up like term on each side:
-7-5x=3x+9
add five x to each side:

-7=8x+9
and subtract 9 from each side:

-16=8x
now isolate the x by dividing both sides by 8:
-2=x

ta dah!

Answer 4

@Mad is kinda similar to mines. but i showed more work :]

Answer 5

Thank you all so much!

Answer 6

x=-2