What is thie solution to the equation-(5-(a + 1)= 9-(5-(2a-3)?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the numerical equation:

-(5-(a + 1)= 9-(5-(2a-3)

Find the solution.

Solution:

Solve first the equations inside the parenthesis. Look for common terms in order to combine them. If there are no common terms, then we can proceed with the values outside the parenthesis.

-(5-(a + 1)= 9-(5-(2a-3)

-5-a + 1= 9-(5-2a-3)

-4 - a = 9-(2-2a)

4 - a = 7-2a

Transpose 2a on the other side of the equation, as well as 4 in order to combine similar terms. Note that when transposing a number, the sign will change.

2a - a =7-4

a = 3

The solution for the given equation is 3.