solve 5(5t+6) - 2(t - 3) = t+14
Answers
Answer:
5
(
5
+
6
)
−
2
(
−
3
)
=
+
1
4
5(5t+6)-2(t-3)=t+14
5(5t+6)−2(t−3)=t+14
Solve
1
Distribute
5
(
5
+
6
)
−
2
(
−
3
)
=
+
1
4
{\color{#c92786}{5(5t+6)}}-2(t-3)=t+14
5(5t+6)−2(t−3)=t+14
2
5
+
3
0
−
2
(
−
3
)
=
+
1
4
{\color{#c92786}{25t+30}}-2(t-3)=t+14
25t+30−2(t−3)=t+14
2
Distribute
again
2
5
+
3
0
−
2
(
−
3
)
=
+
1
4
25t+30{\color{#c92786}{-2(t-3)}}=t+14
25t+30−2(t−3)=t+14
2
5
+
3
0
−
2
+
6
=
+
1
4
25t+30{\color{#c92786}{-2t+6}}=t+14
25t+30−2t+6=t+14
3
Add the numbers
2
5
+
3
0
−
2
+
6
=
+
1
4
25t+{\color{#c92786}{30}}-2t+{\color{#c92786}{6}}=t+14
25t+30−2t+6=t+14
2
5
+
3
6
−
2
=
+
1
4
25t+{\color{#c92786}{36}}-2t=t+14
25t+36−2t=t+14
4
Combine like terms
2
5
+
3
6
−
2
=
+
1
4
{\color{#c92786}{25t}}+36{\color{#c92786}{-2t}}=t+14
25t+36−2t=t+14
2
3
+
3
6
=
+
1
4
{\color{#c92786}{23t}}+36=t+14
23t+36=t+14
5
Subtract
3
6
36
36
from both sides of the equation
2
3
+
3
6
=
+
1
4
23t+36=t+14
23t+36=t+14
2
3
+
3
6
−
3
6
=
+
1
4
−
3
6
23t+36{\color{#c92786}{-36}}=t+14{\color{#c92786}{-36}}
23t+36−36=t+14−36
6
Simplify
Subtract the numbers
Subtract the numbers
again
2
3
=
−
2
2
23t=t-22
23t=t−22
7
Subtract
t
t
from both sides of the equation
2
3
=
−
2
2
23t=t-22
23t=t−22
2
3
−
=
−
2
2
−
23t{\color{#c92786}{-t}}=t-22{\color{#c92786}{-t}}
23t−t=t−22−t
8
Simplify
Combine like terms
Combine like terms
again
2
2
=
−
2
2
22t=-22
22t=−22
9
Divide both sides of the equation by the same term
2
2
=
−
2
2
22t=-22
22t=−22
2
2
2
2
=
−
2
2
2
2
\frac{22t}{{\color{#c92786}{22}}}=\frac{-22}{{\color{#c92786}{22}}}
2222t=22−22
10
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
1
Step-by-step explanation:
5(5t+6) -2(t-3)=t+14
25t+6-2t+3=t+14
25t-2t+6+6=t+14
23t+12=t+14
23t-t=14-12
22t=2
11t=1
11t-1=0
11t=0
t=0