Question

Solve : 4 (2x-1)-2(x-5)=5(x+1)+3

Answer 1

Answer:

4(2x-1) - 2(x-5) = 5(x+1)+3

8x-4-2x+10= 5x+5+3

6x+6= 5x+8

bring variables one side and numbers one side

6x-5x= 8-6

x= 2

Answer 2

$\sf{ 4\left(2x-1\right)-2\left(x-5\right)=5\left(x+1\right)+3$

$\sf{\implies 8x-4-2\left(x-5\right)=5\left(x+1\right)+3}$

$\sf{\implies 8x-4-2x-10\right)=5\left(x+1\right)+3}$

$\sf{\implies 8x-4-2x-10\right)=5x+5+3}$

$\sf{\implies 6x+6=5x+8}$

$\sf{\implies 6x+6-6=5x+8-6}$

$\sf{\implies 6x=5x+2}$

$\sf{\implies 6x-5x=5x+2-5x}$

$\bf{\implies x=2}$