Question

Solve the equation: -3(h+5)+2=4(h+2)-9

Answer 1

`h=-(12)/(7)`

Explanation:

To solve the equation for h follow the next steps

`-3(h+5)+2=4(h+2)-9`

Subtract 4(h+2) on both sides of the equality

`-3(h+5)+2-4(h+2)=4(h+2)-4(h+2)-9`

`-3(h+5)+2-4(h+2)=-9`

Subtract 2 on both sides of the equality

`-3(h+5)+2-4(h+2)-2=-9-2`

`-3(h+5)-4(h+2)=-11`

Apply the distributive property

`-3h-15 -4h-8=-11`

`-7h-15 -8=-11`

`-7h-23=-11`

Sum 23 on both sides of equality

`-7h-23+23=-11+23`

`-7h=12`

Divide by -7 on both sides of the inequality

`(-7)/(-7)h=-(12)/(7)`

`h=-(12)/(7)`

Answer 2

For this case we must solve the following equation:

`-3 (h + 5) + 2 = 4 (h + 2) -9`

We apply distributive property to the terms of parentheses:

`-3h-15 + 2 = 4h + 8-9`

We add similar terms:

`-3h-13 = 4h-1`

We add 13 to both sides of the equation:

`-3h = 4h-1 + 13\\-3h = 4h + 12`

Subtracting 4h on both sides of the equation:

`-3h-4h = 12\\-7h = 12\\h = - \frac {12} {7}`

ANswer:

`h = - \frac {12} {7}`