37/3
step-by-step explanation:
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6xâ9)â8
7x+(8)(x)+(8)(
1
4
)=(3)(6x)+(3)(â9)+â8(distribute)
7x+8x+2=18x+â27+â8
(7x+8x)+(2)=(18x)+(â27+â8)(combine like terms)
15x+2=18x+â35
15x+2=18xâ35
tep 2: subtract 18x from both sides.
15x+2â18x=18xâ35â18x
â3x+2=â35
step 3: subtract 2 from both sides.
â3x+2â2=â35â2
â3x=â37
step 4: divide both sides by -3.
â3x
â3
=
â37
â3
x=
37
3