Question

Solve the equation. SHOW YOUR WORK. 3x - 7 = 5x + 19 and then check your answer

Answer 1

`3x-7=5x+19`

First move all the numbers without "x" to one side and move all the numbers with "x" to the other side by adding/subtracting

`3x-7+7=5x+19+7`

`3x=5x+19+7`

`3x-5x=5x-5x+19+7`

`3x-5x=19+7`

Simplify

`-2x=26`

Divide

`(-2x)/(-2) = (26)/(-2)`

`x=-13`

To check your work, plug in the value of x you got back into the original equation

`3(-13)-7=5(-13)+19`

`-39-7=-63+19`

`-46=-46`
Both sides are equal so the answer is right!