Step 1: Simplify both sides of the equation.
5
(
x
+
2
)
=
3
(
x
+
4
)
(
5
)
(
x
)
+
(
5
)
(
2
)
=
(
3
)
(
x
)
+
(
3
)
(
4
)
(Distribute)
5
x
+
10
=
3
x
+
12
Step 2: Subtract 3x from both sides.
5
x
+
10
−
3
x
=
3
x
+
12
−
3
x
2
x
+
10
=
12
Step 3: Subtract 10 from both sides.
2
x
+
10
−
10
=
12
−
10
2
x
=
2
Step 4: Divide both sides by 2.
2
x
2
=
2
2
x
=
1
Answer:
x
=
1