Question

Solve the equation -4x-8=5x+10 and 5x+2=12 ​

Answer 1

Step-by-step explanation:

First Equation:

-4x - 8 = 5x + 10

=> 5x + 10 = -4x - 8

=> 5x + 4x = -10 - 8

=> 9x = -18

$= > x = \frac{ - 18}{9}$

=> x = - 2 (Ans)

Second Equation:

5x + 2 = 12

=> 5x = 12 - 2

=> 5x = 10

$= > x = \frac{10}{5}$

=> x = 2 (Ans)

Answer 2

$\large \pink{ \sf \: part \: 1}$

$\bf \green{Given \: Equation:}$

$\boxed{ \sf-4x-8=5x+10}$

$\bf \blue{Step \: by \: step \: explanation:}$

$: \implies\sf-4x-8=5x+10$

$: \implies\sf-4x=5x+10 + 8$

$: \implies\sf-4x - 5x=+10 + 8$

$: \implies\sf-9x=+10 + 8$

$: \implies\sf-9x=+18$

$: \implies\sf9x= - 18$

$: \implies\sf{}x= \dfrac{ - 18}{9}$

$: \implies\sf{}x= \dfrac{ - 9 \times 2}{9}$

$: \implies\sf{}x= \dfrac{ - \cancel9 \times 2}{\cancel9}$

$: \implies\sf{}x= \dfrac{ -1 \times 2}{1}$

$: \implies\sf{}x = -1 \times 2$

$: \implies\sf{}x = - 2$

verification:

$: \implies\sf-4x-8=5x+10$

$: \implies\sf-4 \times - 2-8=5 \times 2+10$

$: \implies\sf + 8-8=5 \times - 2+10$

$: \implies\sf + 8-8= - 10+10$

$: \implies\sf 0 = 0$

$\textbf{ \textsf{ \red\dag{}RHS = LHS\red\dag}}$

$\underline \textbf{ \textsf{Hence verified!}}$

$\large \pink{ \sf \: part \: 2}$

$\bf \green{Given \: Equation:}$

$\boxed{ \sf5x+2=12}$

$\bf \blue{Step \: by \: step \: explanation:}$

$: \implies\sf5x + 2 = 12$

$: \implies\sf5x= 12 - 2$

$: \implies\sf5x= 10$

$: \implies\sf x = \dfrac{10}{5}$

$: \implies\sf x = \dfrac{5 \times 2}{5}$

$: \implies\sf x = \dfrac{\cancel 5 \times 2}{\cancel 5}$

$: \implies\sf x = \dfrac{1 \times 2}{1}$

$: \implies\sf x =1 \times 2$

$: \implies\sf x = 2$

$\bf\orange{verification:}$

$: \implies\sf5x + 2 = 12$

$: \implies\sf5 \times 2 + 2 = 12$

$: \implies\sf10+ 2 = 12$

$: \implies\sf12 = 12$

$\large\textbf{ \textsf{ \red\dag{}RHS = LHS\red\dag}}$

$\large\underline \textbf{ \textsf{Hence verified!}}$