Question

31. Solve the equation: 10(x+1)=6(x-2)
3​

Answer 1

Answer:

10x + 10 = 6x - 12

10x - 6x = - 12 - 10

4x = -22

x = -22/4

x = -11/2

Answer 2

☯ GIVEN :

• $\bf{10(x + 1) =6(x−2)}$.

☯ TO FIND :

• The value of x.

➲SOLUTION :

$\implies \sf{10(x + 1) =6(x−2)}$

$\implies\sf{10x+10 = 6x - 12}$

• Transposing 10 to Right side and 6x to left side :

$\implies\sf{ 10x-6x= -12 - 10}$

$\implies \sf{4x=-22}$

• Dividing both sides by 4 :

$\implies \sf{ x =\dfrac{-22}{4} }$

• Dividing both numerator and denominator by 2 :

$\implies \sf{ x = \cancel{\dfrac{-22}{4} } }$

• Again dividing both numerator and denominator by 2 :

$\implies \sf{ x = \cancel{\dfrac{-11}{2} } }$

$\implies \underline{ \boxed {\pink {\bf{ x = -5.5}}}}$

$\huge{\red {\therefore }}$The value of x -5.5 .