Question

Solving algebraic equationsSolve:3z + 5 (2-z) =2z-10

Answer 1

`3z+5(2-z)=2z-10`

distribute the 5 to whats inside the parentheses

`3z+10-5z=2z-10`

simplify the common factors on both sides

`-2z+10=2z-10`

bring all algebraic expressions to one side, and to the other all constant numbers

`-2z-2z=-10-10`

simplify both sides

`\begin{gathered} -4z=-20 \\ \end{gathered}`

divide both sides by 4

`\begin{gathered} z=(-20)/(-4) \\ z=5 \end{gathered}`