Question

solve the equation and check the solution of 8(x
+3)-(5x-1)=8
x=?
simplify your answer

Answer 1

\[8(x +3)-(5x-1)=8\]
Distribution Property
\[8x + 24 -5x +1 = 8\]
(For the second set of parentheses, note the minus sign before which is basically -1 times 5x -1 which makes 5x negative, and -1 -> positive 1)

Now do like terms

\[3x + 25 = 8\]
Subtraction Property of Equality
\[3x = -17\]|
Division Property of Equality
\[x = - \frac{ 17 }{ 3 }\]