37/3
step-by-step explanation:
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6xā9)ā8
7x+(8)(x)+(8)(
1
4
)=(3)(6x)+(3)(ā9)+ā8(distribute)
7x+8x+2=18x+ā27+ā8
(7x+8x)+(2)=(18x)+(ā27+ā8)(combine like terms)
15x+2=18x+ā35
15x+2=18xā35
tep 2: subtract 18x from both sides.
15x+2ā18x=18xā35ā18x
ā3x+2=ā35
step 3: subtract 2 from both sides.
ā3x+2ā2=ā35ā2
ā3x=ā37
step 4: divide both sides by -3.
ā3x
ā3
=
ā37
ā3
x=
37
3