Question

Solve the following
Equation

Answer 1

Answer:

(x-1)/3=(x+2+18)/6

6x-6=3x+6+54

6x-3x=60+6

3x=66

x=66/3

x=22

Answer 2

Answer:

x = 22

Step-by-step explanation:

$\implies \sf \dfrac{x-1}{3} = \dfrac{x+2}{6} + 3$

${\red{\tt Multiply \: both \: sides \: by \: 6.}}$

$\implies \sf \dfrac{x-1}{3} \times 6 = \dfrac{x+2}{6} + 3 \times 6$

${\red{\tt We \: get,}}$

$\quad : \implies \sf 2(x-1) = x + 2 + 18$

$\qquad : \implies \sf 2x-2 = x+2+18$

$\qquad : \implies \sf 2x-2 = x+20$

$\qquad : \implies \sf 2x-2-2 = 20$

$\qquad : \implies \sf 2x-2 = 20+2$

$\qquad : \implies \sf 2x-x = 20+2$

$\qquad : \implies \sf x = 20+2$

$\qquad \large {\underline{\boxed{\sf x = 22}}}$