Question

Part A:


Solve this equation 1/2x-7=1/3(x-12)

Answer 1

1
2
x
−
7
=
1
3
(
x
−
12
)
Step 1: Simplify both sides of the equation.
1
2
x
−
7
=
1
3
(
x
−
12
)
1
2
x
+
−
7
=
(
1
3
)
(
x
)
+
(
1
3
)
(
−
12
)
(Distribute)
1
2
x
+
−
7
=
1
3
x
+
−
4
1
2
x
−
7
=
1
3
x
−
4
Step 2: Subtract 1/3x from both sides.
1
2
x
−
7
−
1
3
x
=
1
3
x
−
4
−
1
3
x
1
6
x
−
7
=
−
4
Step 3: Add 7 to both sides.
1
6
x
−
7
+
7
=
−
4
+
7
1
6
x
=
3
Step 4: Multiply both sides by 6.
6
*
(
1
6
x
)
=
(
6
)
*
(
3
)
x
=
18
Answer:
x
=
18