Question

Solve 20x + 5 = 24x - 1

show the work pls!

Answer 1

Explanation:

`{ \tt{20x + 5 = 24x - 1}}`

» Subtract 20x from either sides [ subtraction rule of equality ]

`{ \tt{(20x + 5){ \green{ - 20x}} = (24x - 1){ \green{ - 20x}}}} \\ { \tt{5 = 4x - 1}} \\ { \tt{4x - 1 = 5}}`

» Add 1 to either sides [ addition rule of equality ]

`{ \tt{(4x - 1){ \green{ + 1}} = 5{ \green{ + 1}}}} \\ { \tt{4x = 6}} \\ { \tt{x = (6)/(4) }}`

» Reduce the fraction

`{ \tt{x = (3)/(2) }} \\ \\ { \tt{x = 1 (1)/(2) \: \: or \: \: 1.5}}`