Respuesta :
Answer: x = 1.4
Step-by-step explanation:
From the equation, open the bracket:
15x +6 +19x= 55 - x
15x + 19x +x = 55 - 6
35x=49 (divide both sides by 35)
x= 49/35
x= 1.4
Step 1: Simplify both sides of the equation.
3
(
5
x
+
2
)
+
19
x
=
55
−
x
(
3
)
(
5
x
)
+
(
3
)
(
2
)
+
19
x
=
55
+
−
x
(Distribute)
15
x
+
6
+
19
x
=
55
+
−
x
(
15
x
+
19
x
)
+
(
6
)
=
−
x
+
55
(Combine Like Terms)
34
x
+
6
=
−
x
+
55
34
x
+
6
=
−
x
+
55
Step 2: Add x to both sides.
34
x
+
6
+
x
=
−
x
+
55
+
x
35
x
+
6
=
55
Step 3: Subtract 6 from both sides.
35
x
+
6
−
6
=
55
−
6
35
x
=
49
Step 4: Divide both sides by 35.
35
x
35
=
49
35
x
=
7
5
3
(
5
x
+
2
)
+
19
x
=
55
−
x
(
3
)
(
5
x
)
+
(
3
)
(
2
)
+
19
x
=
55
+
−
x
(Distribute)
15
x
+
6
+
19
x
=
55
+
−
x
(
15
x
+
19
x
)
+
(
6
)
=
−
x
+
55
(Combine Like Terms)
34
x
+
6
=
−
x
+
55
34
x
+
6
=
−
x
+
55
Step 2: Add x to both sides.
34
x
+
6
+
x
=
−
x
+
55
+
x
35
x
+
6
=
55
Step 3: Subtract 6 from both sides.
35
x
+
6
−
6
=
55
−
6
35
x
=
49
Step 4: Divide both sides by 35.
35
x
35
=
49
35
x
=
7
5