Question

2. Given 4(-x + 4) = 12 Prove x = 1​

Answer 1

Solve the equation

$\\ \sf \longmapsto 4(-x+4)=12$

$\\ \sf \longmapsto -4x+16=12$

$\\ \sf \longmapsto -4x=12-16$

$\\ \sf \longmapsto -4x=-4$

$\\ \sf \longmapsto x=\dfrac{-4}{-4}$

$\\ \sf \longmapsto x=1$

Answer 2

$\large\bf{\orange{ \implies}} \: \tt \: \: 4 \: ( - x \: + \: 4) \: = \: 12$

$\large\bf{\orange{ \implies}} \: \tt \: \: - 4x \: + \: 16 \: = \: 12$

$\large\bf{\orange{ \implies}} \: \tt \: \: - 4x \: = \: 12 \: - 16$

$\large\bf{\orange{ \implies}} \: \tt \: \: - 4x \: = \: - 4$

$\large\bf{\orange{ \implies}} \: \tt \: \:x \: = \: \frac{ \cancel{- 4} \: \: ^{1} }{ \cancel{- 4}}$

$\large\bf{\orange{ \implies}} \: \bf \: \:x \: = \: 1$

$\Large\underbrace{\textrm{{{\color{blue}{Hence , Proved}}}}}$