Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]
When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression
[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]
Add the numbers: 3 and 8
[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]
Move 11 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]
Subtract 11 from 7
[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]
Divide both sides by -2
[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{a = 2}}[/tex]
Hope I helped!
Best regards! :D
