Step-by-step explanation:
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6x−9)−8
7x+(8)(x)+(8)(
1
4
)=(3)(6x)+(3)(−9)+−8(distribute)
7x+8x+2=18x+−27+−8
(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)
15x+2=18x+−35
15x+2=18x−35
tep 2: subtract 18x from both sides.
15x+2−18x=18x−35−18x
−3x+2=−35
step 3: subtract 2 from both sides.
−3x+2−2=−35−2
−3x=−37
step 4: divide both sides by -3.
−3x
−3
=
−37
−3
x=
37
3
