Question

Simplify the given equation.

6 - (3x + 10) + 4(2 - x) = 15

Solve for x.
5(x + 1) = 4(x + 8)

Answer 1

6-(3x+10)+4(2-x)=15 simplify= -1 4/7 and Solve for x.

5(x + 1) = 4(x + 8) x= 27

Explanation:

these answers are correct

Answer 2

Part 1)
`4-7x=15`

The value of x is
`-(11)/(7)`

Part 2)
`x=27`

Explanation:

Part 1) Simplify the given equation

we have

`6 - (3x + 10)+4(2 - x)=15`

In the left side, remove the parenthesis and apply the distributive property

Remember that

`(-1)(+1)=-1\\(-1)(-1)=+1`

so

`6 -3x-10+4(2)-4(x)=15`

`6 -3x-10+8-4x=15`

Combine like terms left side

`4-7x=15`

Adds 7x both sides

`4=15+7x`

subtract 15 both sides

`-11=7x`

Divide by 7 both sides

`x=-(11)/(7)`

Part 2) Solve for x.

`5(x + 1) = 4(x + 8)`

Apply distributive property both sides

`5x+5=4x+32`

Group terms that contain the same variable

`5x-4x=32-5`

Combine like terms

`x=27`