Question

Given: 2x+3=4x-5
Prove: x=4

Answer 1

Collect like terms

3+5=4x-2x

(note that when - crosses a line it turns to +

8=2x

8/2=2x/2

x=4

Answer 2

Explanation:

2x + 3 = 4x - 5

4x - 5 = 2x + 3

Step 1 : Add 5 on both sides.

4x = 2x + 3 + 5

4x = 2x + 8

Step 2 : Subtract 2x on both sides.

4x - 2x = 8

2x = 8

Step 3 : Divide 2 on both sides.

x = 8/2

x = 4

Hence proved.