37/3
step-by-step explanation:
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6xโ9)โ8
7x+(8)(x)+(8)(
1
4
)=(3)(6x)+(3)(โ9)+โ8(distribute)
7x+8x+2=18x+โ27+โ8
(7x+8x)+(2)=(18x)+(โ27+โ8)(combine like terms)
15x+2=18x+โ35
15x+2=18xโ35
tep 2: subtract 18x from both sides.
15x+2โ18x=18xโ35โ18x
โ3x+2=โ35
step 3: subtract 2 from both sides.
โ3x+2โ2=โ35โ2
โ3x=โ37
step 4: divide both sides by -3.
โ3x
โ3
=
โ37
โ3
x=
37
3