Answer:
[tex]5x= 15[/tex]
Step-by-step explanation:
Given
[tex]3x - 5 = -2x +10[/tex]
Required
Write the variables and constants on different sides
[tex]3x - 5 = -2x +10[/tex]
Add 2x to both sides
[tex]2x + 3x - 5 =2x -2x +10[/tex]
[tex]5x - 5 =10[/tex]
Add 5 to both sides
[tex]5x - 5 + 5 = 10 + 5[/tex]
[tex]5x= 10 + 5[/tex]
[tex]5x= 15[/tex]
Hence, the equation is
[tex]5x= 15[/tex]
Solving further [divide both sides by 5]
[tex]x = 3[/tex]
