What is the solution to this equation? 2x - 5 + 3x = 35

2x - 5 + 3x = 35

simplify

5x - 5 = 35

add 5 to both sides

5x - 5 + 5 = 35 + 5

simplify

5x = 40

divide both sides by 5

5x/5 = 40/5

simplify

x = 8

2x - 5 + 3x = 35

We must combine like terms.

2x + 3x = 5x

-5 + 5x = 35

Do the opposite of what the non-x number is (the non-x number is - 5, opposite is + 5)

-5 + 5 + 5x = 35 + 5

5x = 40

5x is the same as 5 times x, and the opposite of multiplication is division.

5x/5 = 40/5

x = 8