37/3
step-by-step explanation:
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6xβ9)β8
7x+(8)(x)+(8)(
1
4
)=(3)(6x)+(3)(β9)+β8(distribute)
7x+8x+2=18x+β27+β8
(7x+8x)+(2)=(18x)+(β27+β8)(combine like terms)
15x+2=18x+β35
15x+2=18xβ35
tep 2: subtract 18x from both sides.
15x+2β18x=18xβ35β18x
β3x+2=β35
step 3: subtract 2 from both sides.
β3x+2β2=β35β2
β3x=β37
step 4: divide both sides by -3.
β3x
β3
=
β37
β3
x=
37
3