Question

Complete Each Proof

Given: -3(2x+7) = -29 - 4x: Prove X=4
STATEMENTS and REASONS
Check Picture

Answer 1

We proved that
`-3(2x+7) = -29 - 4x` gives
`\mathbf{x=4}`

Explanation:

We are given:
`-3(2x+7) = -29 - 4x`

We need to prove x=4

Statements Reasons

`-6x-21=-29-4x` Distributive property of multiplication over subtraction

`-6x-21+4x=-29-4x+4x` Addition property of equality

`2x-21=-29` Additive inverse property (+4x-4x=0)

`2x-21+21=-29+21` Addition property of equality

`2x=8` Additive inverse property

`2x/2=8/2` Division property of equality

`x=4` Answer

So, We proved that
`-3(2x+7) = -29 - 4x` gives
`\mathbf{x=4}`