"Solve the equation [tex] 2a+3=1/2(6+4a)[/tex]"...
Solve for a. [tex]2a+3=1/2(6+4a)[/tex] Distribute the Parenthesis. [tex]2a+3=(1/2*6)+(1/2*4a)[/tex] Simplify. [tex]2a+3=(0.5*6)+(0.5*4a)[/tex] [tex]2a+3=3+2a[/tex] Add -2a to both sides. [tex](2a+3)+(-2a)=(3+2a)+(-2a)[/tex] Simplify. [tex]3=3[/tex] Add -3 to both sides. [tex](3)+(-3)=(3)+(-3)[/tex] Simplify. 0=0
All real numbers are a solution to the variable a.