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
$\frac{-2x}{-2} = \frac{26}{-2}$
$x=-13$

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!