[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
- Solve the equation ⇨ -12(x - 12) = -9(1 + 7x).
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]- 12 ( x - 12 ) = - 9 ( 1 + 7 x )[/tex]
Use the distributive property to multiply -12 by x-12.
[tex]-12x+144=-9\left(1+7x\right) [/tex]
Use the distributive property to multiply -9 by 1+7x.
[tex]-12x+144=-9-63x [/tex]
Add 63x to both sides.
[tex]-12x+144+63x=-9 [/tex]
Combine -12x and 63x to get 51x.
[tex]51x+144=-9 [/tex]
Subtract 144 from both sides.
[tex]51x=-9-144 [/tex]
Subtract 144 from -9 to get -153.
[tex]51x=-153 [/tex]
Divide both sides by 51.
[tex]x=\frac{-153}{51} \\ [/tex]
Divide -153 by 51 to get -3.
[tex] \huge \boxed{ \boxed{\bf \: x = - 3}}[/tex]
