Question

3h - 2( 4h - 5) = 10 - 5hsolve for h

Answer 1

`\because3h-2(4h-5)=10-5h`

At first, we will simplify the left side by multiplying the bracket by -2

`\because-2(4h-5)=-2(4h)-2(-5)=-8h+10`

Substitute -8h + 10 in the equation

`\therefore3h-8h+10=10-5h`

Now we will add the like terms on the left side

`\begin{gathered} \because(3h-8h)+10=10-5h \\ \therefore-5h+10=10-5h \end{gathered}`

Add 5h to both sides

`\begin{gathered} \because-5h+5h+10=10-5h+5h \\ \therefore0+10=10+0 \\ \therefore10=10 \end{gathered}`

Look at the two sides, they have the same terms

That means you can use any value for h

∴ The equation has many solutions