We can add the same number to both sides and still keep the equality.
First, we took away three from each side: x+3−3=8−3x+3−3=8−3
Then we were left with five: x=5x=5
The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.
Multiplication Property of Equality
Stated simply, when you divide or multiply both sides of an equation by the same quantity, you still have equality. ... In the example below the variable is multiplied by 4 , so we will divide both sides by 4 to “undo” the multiplication.
Let x=−7x=−7. Substitute −7−7 for x: 4(−7)?=−284(−7)=?−28
Check your answer: 4x=−284x=−28
Simplify: x=−7x=−7
Subtraction Property of Equality
You can subtract the same number from both sides of an equation and get an equivalent equation.
