What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?
7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.
Answer:
\(a=7\)
Step-by-step explanation:
we have
\(7(a-10)=13-2(2a+3)\)
Solve for a
\(7a-70=13-4a-6\)
Group terms that contain the same variable and move the constants to the other side
\(7a+4a=13-6+70\)
Combine like terms
\(11a=77\)
Divide by \(11\) both sides
\(a=7\)