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Evangeline Preston
Mathematics
18 May, 09:20
1/4 (x+6) + 1/8 (x-3) = 1/3 (x+4)
+4
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Kayla Fitzpatrick
18 May, 09:42
0
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
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