This equation can be easily solved by collecting like terms. To do this arrange the x values and the integers on opposite sides of the equals sign to find a value for x.
8x + 4 = 6x + 5 Shift the 6x across the equals sign so it becomes - 6x
8x - 6x + 4 = 5 Do the same but in the opposite direction with the 4, it becomes - 4.
8x - 6x = 5 - 4 Now the like terms have been collected we can simplify the equation.
2x = 1 Now we can divide the equation through by 2 to find a value for x.
x = 1/2
Now check your answer by placing our value for x back into the original equation.
8(1/2) + 4 = 6(1/2) + 5 Multiply out the brackets and simplify
4 + 4 = 3 + 5
8 = 8 This proves that our original answer was indeed correct.