Simplify 7/3(x - 1) to 7(x - 1)/3
7(x - 1)/3 + 1 = 3(x + 1)
Multiply both sides by 3
7(x - 1) + 3 = 9(x + 1)
Expand
7x - 7 + 3 = 9x + 9
Simplify 7x - 7 + 3 to 7x - 4
7x - 4 = 9x + 9
Subtract 7x from both sides
-4 = 9x + 9 - 7x
Simplify 9x + 9 - 7x to 2x + 9
-4 = 2x + 9
Subtract 9 from both sides
-4 - 9 = 2x
Simplify -4 - 9 to -13
-13 = 2x
Divide both sides by 2
-13/2 = x
Switch sides
x = -13/2
Answer:
[tex]x=\frac{9}{4}[/tex]
Step-by-step explanation:
[tex]7\left(x-1\right)+1=3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\:}7\left(x-1\right)+1:\quad 7x-6[/tex]
[tex]\mathrm{Expand\:}3\left(x+1\right):\quad 3x+3[/tex]
[tex]7x-6=3x+3[/tex]
Subtract 3x from both sides: 4x=9
Divide by 4: you get my answer!
Hope this helps!!
