Subtract 10 from both sides

3x/4 = 2x/3 +1

multiply both sides by 3

9x/4 = 6x/3 + 3

9x/4 = 2x +3

multiply both sides by 4

9x = 8x + 12

subtract 8x from both sides

x = 12

check in original equation

36/4+10 = 24/3 +11

19 =19 - answer checks.

3x/4 = 2x/3 +1

multiply both sides by 3

9x/4 = 6x/3 + 3

9x/4 = 2x +3

multiply both sides by 4

9x = 8x + 12

subtract 8x from both sides

x = 12

check in original equation

36/4+10 = 24/3 +11

19 =19 - answer checks.