Answer:
[tex]x = \bf -\frac{1}{4}[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]12x + 9 = 4x + 7[/tex]
In order to solve this equation, we have to rearrange it to make [tex]x[/tex] the subject of the equation:
[tex]12x + 9 = 4x + 7[/tex]
⇒ [tex]12x + 9 - 4x = 4x + 7 - 4x[/tex] [Subtracting [tex]4x[/tex] from both sides]
⇒ [tex]8x + 9 = 7[/tex]
⇒ [tex]8x + 9 - 9 = 7 - 9[/tex] [Subtracting 9 from both sides]
⇒ [tex]8x = -2[/tex]
⇒ [tex]\frac{8}{8} x = -\frac{2}{8}[/tex] [Dividing both sides by 8]
⇒ [tex]x = -\frac{2}{8}[/tex]
⇒ [tex]x = \bf -\frac{1}{4}[/tex] [Simplifying the fraction]
