Verified Answer :

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3x-7=5x+19
Add 7 to both sides.
3x=5x+26
Subtract 5x on both sides.
-2x=26
Divide by -2 on both sides.
x=-13


To check the answer you substitute x=-13 back into the equation.
3x-7=5x+19
3(-13)-7=5(-13)+19
-39-7=-65+19
-46=-46

\(3x - 7 = 5x + 19\)  \(|Equation|\)

\(-7=5x+19-3x\)  \(|Subtract \ 3x \ from \ both \ sides|\) 

\(-7=2x+19\) 

\(-7-19=2x\) 

\(-26=2x\) 

\(-26/2=x\) 

\(x=-13\)

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