5x + 7 = 3x - 5
First, subtract 3x from both sides.
[tex]5x = 7 - 3x = -5[/tex]
Second, keep the 7 and subtract the 5x - 3x to get 2x.
[tex]2x + 7 = -5[/tex]
Third, subtract the 7 from both sides.
[tex]2x = -5 - 7[/tex]
Fourth, simplify -5 - 7.
[tex]2x = -12[/tex]
Fifth, take the 2 and divide it on both sides, leaving just x in its place.
[tex]x = -\frac{12}{2} [/tex]
Sixth, since 6 goes into 2 to get 12, simplify the fraction to 6.
[tex]x = -6[/tex]
Answer: x = -6
