Question

Solve for X: 5X +2 = 4X -9

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ \: \: X \: = - 11}}}}}`

Explanation:

`\sf{5 \: X + 2 = 4 \: X - 9}`

Move 4 X to left hand side and change it's sign

Similarly, move 2 to right hand side and change it's sign

`\longrightarrow{ \sf{5 \: X - 4 \: X = - 9 - 2}}`

Collect like terms

`\longrightarrow{ \sf{X = - 9 - 2}}`

The negative and positive integers are always subtracted but posses the sign of the bigger integer

`\longrightarrow{ \sf{X = - 11}}`

Hope I helped!

Best regards! :D

Answer 2

Answer:5X+2=4X-9\quad :\quad X=-11

Explanation:

5X+2=4X-9

5X+2-2=4X-9-2

5X=4X-11

5X-4X=4X-11-4X

X=-11