Question

Solve the equation : 3x - 2 = 4x + 5
How many solutions are there?​

Answer 1

one solution, x = -7

Explanation:

`3x-2=4x+5\qquad\text{add 2 to both sides}\\\\3x-2+2=4x+5+2\\\\3x=4x+7\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\3x-4x=4x-4x+7\\\\-x=7\qquad\text{change the signs}\\\\x=-7`

Answer 2

one solution

Explanation:

Given

3x - 2 = 4x + 5 ( subtract 4x from both sides )

- x - 2 = 5 ( add 2 to both sides )

- x = 7 ( multiply both sides by - 1 )

x = - 7 ← the one solution