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Complete Each Proof

Given: -3(2x+7) = -29 - 4x: Prove X=4
STATEMENTS and REASONS
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Complete Each Proof Given: -3(2x+7) = -29 - 4x: Prove X=4 STATEMENTS and REASONS Check-example-1

1 Answer

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Answer:

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}

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