Distribute 1/4 through the parenthesis:
1/4x + 3/2 + 1/8(x-3)= 1/3(x+4)
Distribute 1/8 through the parenthesis:
1/4x + 3/2 + 1/8x - 3/8= 1/3(x+4)
Distribute 1/3 through the parenthesis:
1/4x + 3/2 + 1/8x - 3/8= 1/3x + 4/3
Subtract the fractions.
1/4x + 9/8 + 1/8x= 1/3x + 4/3
Multiply both sides of the equation by 24.
6x + 27 + 3x= 8x + 32
Collect the like terms:
9x + 27= 8x + 32
Move 8 to the left side, then change the sign.
9x - 8x + 27= 32
Move 27 to the right side, the. change the sign.
9x - 8x= 32 - 27
Collect the like terms.
x= 32 - 27
Subtract the numbers.
32 - 27 = 5
Solution: x = 5
