Here’s an Algebraic Proof:
Given: -3x=5x+6
Statement Reasoning
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1.) -3x-5x=5x-5x+6 Subtraction Property of Equality.
2.) -8x=6 Simplification by combining Like Terms
3.) -8x/-8=6/-8 Division Property of Equality
4.) x=-0.75 Definition of equality.
Here’s what we did:
In step 1.), we subtracted 5x from both sides to cancel it out from the right side and combine it with the Like Term of -3x on the left side. In step 2.), we subtracted both -3x by -5x to combine them as Like Terms. In step 3.), we divided -8x by itself to cancel it out, and we divided 6 by -8 on the right side. In step 4.), the quotient is -0.75 because 6/-8 = -0.75.
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